Solved papers for RAJASTHAN ­ PET Rajasthan PET Solved Paper-2010

done Rajasthan PET Solved Paper-2010 Total Questions - 120

• question_answer1) The equation of a stationary wave is\[y=0.8cos\] \[\left( \frac{\pi x}{20} \right)\]sin 200 \[\pi \]t and t is in sec. The separation between consecutive nodes will be
  A)
   20 cm          
  done clear
  B)
   10 cm
  done clear
  C)
   40 cm           
  done clear
  D)
   30 cm
  done clear
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• question_answer2) Two waves of frequencies 20 Hz and 30 Hz travels out from a common point. The phase difference between them after 0.6 s is
  A)
   zero              
  done clear
  B)
   \[\frac{\pi }{2}\]  
  done clear
  C)
   \[\pi \]                 
  done clear
  D)
   \[\frac{3\pi }{4}\]
  done clear
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• question_answer3) When temperature of an ideal gas is increased from\[27{}^\circ C\]to\[227{}^\circ C,\]its rms speed changed from 400 m/s to\[{{v}_{s}}\]. Then\[{{v}_{s}}\]is
  A)
   516 m/s          
  done clear
  B)
   450 m/s
  done clear
  C)
   310 m/s
  done clear
  D)
   746 m/s
  done clear
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• question_answer4) One circular ring and one circular disc, both are having the same mass and radius. Then both of their moments of inertia about the axes passing   through their centres and perpendicular to their planes, will be in the ratio
  A)
   1 : 1
  done clear
  B)
   2 : 1
  done clear
  C)
   1 : 2   
  done clear
  D)
   4 : 1
  done clear
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• question_answer5) Two spheres P and Q, of same colour having radii 8 cm and 2 cm are maintained at temperature \[127{}^\circ C\]and\[527{}^\circ C\]respectively. The ratio of energy radiated by P and Q is
  A)
   0.054          
  done clear
  B)
   0.0034
  done clear
  C)
   1                
  done clear
  D)
   2
  done clear
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• question_answer6) Four equal charges Q are placed at four corners of a square of each side a. Work done in removing a charge\[-Q\] from its centre to infinity is
  A)
   \[zero\]
  done clear
  B)
   \[\frac{\sqrt{2}\,{{Q}^{2}}}{4\pi {{\varepsilon }_{0}}a}\]
  done clear
  C)
   \[\frac{\sqrt{2}\,{{Q}^{2}}}{\pi {{\varepsilon }_{0}}a}\]
  done clear
  D)
   \[\frac{{{Q}^{2}}}{2\pi {{\varepsilon }_{0}}a}\]
  done clear
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• question_answer7) When light rays from the sun fall on a convex lens along a direction parallel to its axis.
  A)
   Focal length for all colors is the same
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  B)
   Focal length for violet color is the shortest
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  C)
   Focal length for yellow color is the longest
  done clear
  D)
   Focal length for red color is the shortest
  done clear
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• question_answer8) Diffraction and interference of light suggest
  A)
   nature of light is electromagnetic
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  B)
   wave nature
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  C)
   nature is quantum
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  D)
   nature of light is transverse
  done clear
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• question_answer9) The de- Broglie wavelength of an electron having kinetic energy E is given by the expression
  A)
   \[\frac{h}{\sqrt{2mE}}\]
  done clear
  B)
   \[\frac{2h}{mE}\]
  done clear
  C)
   \[2mhE\]
  done clear
  D)
   \[\frac{2\sqrt{2mE}}{h}\]
  done clear
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• question_answer10) If two waves of same frequency and same amplitude respectively, are superimposed on each other produces a resultant disturbance of the same amplitude, then the waves differ in phase by
  A)
   \[\pi \]                 
  done clear
  B)
   2\[\pi \]/3
  done clear
  C)
   \[\pi \]/2                 
  done clear
  D)
   zero
  done clear
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• question_answer11) Ultraviolet radiation of 6.2 eV falls on an aluminium surface (work function 4.2 eV). The kinetic energy in joule of the fastest electron emitted is approximately
  A)
   \[3.2\times {{10}^{-21}}\]        
  done clear
  B)
   \[3.2\times {{10}^{-19}}\]
  done clear
  C)
   \[3.2\times {{10}^{-17}}\]        
  done clear
  D)
   \[3.2\times {{10}^{-15}}\]
  done clear
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• question_answer12) The magnetic field at the centre of coil of n turn, bent in the form of a square of side\[2l,\]carrying current\[i,\]is
  A)
   \[\frac{\sqrt{2}{{\mu }_{0}}ni}{\pi l}\]
  done clear
  B)
   \[\frac{\sqrt{2}{{\mu }_{0}}ni}{2\pi l}\]
  done clear
  C)
   \[\frac{\sqrt{2}{{\mu }_{0}}ni}{4\pi l}\]
  done clear
  D)
   \[\frac{2{{\mu }_{0}}ni}{\pi l}\]
  done clear
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• question_answer13) Charges 4Q, q and Q and placed along x-axis at positions \[x=0,\text{ }x=1/2\]and\[x=1\]respectively. Find the value of q so, that force on charge Q is zero
  A)
   Q               
  done clear
  B)
   \[Q/2\]
  done clear
  C)
   \[-Q/2\]           
  done clear
  D)
   \[-Q\]
  done clear
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• question_answer14) Gauss's taw is true only if force due to a charge varies as
  A)
   \[{{r}^{-1}}\]             
  done clear
  B)
   \[{{r}^{-2}}\]
  done clear
  C)
   \[{{r}^{-3}}\]           
  done clear
  D)
   \[{{r}^{-4}}\]
  done clear
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• question_answer15) A condenser having a capacity 2.0 \[\mu F\] is charged to 200 Volts and then the plates of the capacitor are connected to a resistance wire. The heat produced in joule will be
  A)
   \[4\times {{10}^{4}}J\]          
  done clear
  B)
   \[4\times {{10}^{10}}J\]
  done clear
  C)
   \[4\times {{10}^{-2}}J\]         
  done clear
  D)
   \[2\times {{10}^{-2}}J\]
  done clear
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• question_answer16) The intensity of magnetic field is H and moment of magnet is M. The maximum potential energy is
  A)
   MH             
  done clear
  B)
   2 MH
  done clear
  C)
   3 MH             
  done clear
  D)
   4 MH
  done clear
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• question_answer17) In an AC circuit, V and\[i\]are given by, \[V=100\text{ }sin\] (100 t) Volts, \[i=100\,\sin \left( 100\,t+\frac{\pi }{3} \right)mA\] The power dissipated in circuit is
  A)
   104 W            
  done clear
  B)
   10 W
  done clear
  C)
   2.5 W            
  done clear
  D)
   5 W
  done clear
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• question_answer18) A resonant AC circuit contains a capacitor of capacitance\[{{10}^{-6}}F\]and an inductor of\[{{10}^{-4}}H\]The frequency of electrical oscillator will be
  A)
   \[{{10}^{5}}Hz\]          
  done clear
  B)
   10 Hz
  done clear
  C)
   \[\frac{{{10}^{5}}}{2\pi }Hz\]            
  done clear
  D)
   \[\frac{10}{2\pi }Hz\]
  done clear
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• question_answer19) If pressure p, velocity v and time (are taken as fundamental physical quantities, the dimensional formula of force is
  A)
   \[\left[ p{{v}^{2}}{{t}^{2}} \right]\]            
  done clear
  B)
   \[\left[ {{p}^{-1}}{{v}^{2}}{{t}^{-2}} \right]\]
  done clear
  C)
   \[\left[ pv{{t}^{2}} \right]\]            
  done clear
  D)
   \[\left[ {{p}^{-1}}v{{t}^{2}} \right]\]
  done clear
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• question_answer20) The ratio of momenta of an electron and an \[\alpha \]-particle which are accelerated from rest by a potential difference of 100 V is
  A)
   \[1\]
  done clear
  B)
   \[\sqrt{\frac{2{{m}_{e}}}{{{m}_{\alpha }}}}\]
  done clear
  C)
   \[\sqrt{\frac{{{m}_{e}}}{{{m}_{\alpha }}}}\]
  done clear
  D)
   \[\sqrt{\frac{{{m}_{e}}}{2{{m}_{\alpha }}}}\]
  done clear
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• question_answer21) The resistor of resistance R is connected to 25 V supply and heat produced in it is 25 J/s. The value of R is
  A)
   225\[\Omega \]           
  done clear
  B)
   1\[\Omega \]
  done clear
  C)
   25\[\Omega \]            
  done clear
  D)
   50\[\Omega \]
  done clear
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• question_answer22) Capacitance of a parallel plate capacitor becomes 4/3 times its original value, if a dielectric slab of thickness \[t=\frac{d}{2}\] is inserted between the plates (d is the separation between the plates). The dielectric constant of the slab is
  A)
   8     
  done clear
  B)
   4      
  done clear
  C)
   6       
  done clear
  D)
   2
  done clear
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• question_answer23) A proton (or charged particle) moving with velocity v is acted upon by electric field E and magnetic field B. The proton will move undeflected if,
  A)
   E is perpendicular to B
  done clear
  B)
   E is parallel to v and perpendicular to B
  done clear
  C)
   E, B and v are mutually perpendicular and v=\[\frac{E}{B}\]
  done clear
  D)
   E and B both are parallel to v
  done clear
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• question_answer24) Current i is carried in a wire of length L. If the wire  is turned into a circular coil, the maximum magnitude of torque in a given magnetic field B will be
  A)
   \[\frac{Li{{B}^{2}}}{2}\]                  
  done clear
  B)
   \[\frac{L{{i}^{2}}B}{2}\]
  done clear
  C)
   \[\frac{{{L}^{2}}iB}{4\pi }\]                
  done clear
  D)
   \[\frac{L{{i}^{2}}B}{4\pi }\]
  done clear
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• question_answer25) The angular moment of electron in nth orbit is given by
  A)
   \[nh\]
  done clear
  B)
   \[\frac{h}{2\pi n}\]
  done clear
  C)
   \[n\frac{h}{2\pi }\]
  done clear
  D)
   \[{{n}^{2}}\frac{h}{2\pi }\]
  done clear
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• question_answer26) The minimum energy required to excite a hydrogen atom from its ground state is
  A)
   13.6 eV          
  done clear
  B)
   \[-13.6\text{ }eV\]
  done clear
  C)
   3.4 eV           
  done clear
  D)
   10.2 eV
  done clear
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• question_answer27) If half-life of radium is 77 days. Its decay constant in day will be
  A)
   \[3\times {{10}^{-3}}/day\]     
  done clear
  B)
   \[9\times {{10}^{-3}}/day\]
  done clear
  C)
   \[1\times {{10}^{-3}}/day\]      
  done clear
  D)
   \[6\times {{10}^{-3}}/day\]
  done clear
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• question_answer28) A radioactive substance has a half-life of 1 year. The fraction of this material, that would remain after 5 year will be
  A)
   \[\frac{1}{32}\]
  done clear
  B)
   \[\frac{7}{5}\]
  done clear
  C)
   \[\frac{1}{2}\]
  done clear
  D)
   \[\frac{4}{5}\]
  done clear
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• question_answer29) Potential gradient is defined as
  A)
   fall of potential per unit length of the wire
  done clear
  B)
   fall of potential for unit area of the wire
  done clear
  C)
   fall of potential between two ends of the wire
  done clear
  D)
   potential at any one end of the wire
  done clear
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• question_answer30) If two bulb have 40 W and 60 W rating at 220 V then the ratio of their resistances will be
  A)
   9 : 4                
  done clear
  B)
   4 : 3
  done clear
  C)
   3 : 8                
  done clear
  D)
   3 : 2
  done clear
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• question_answer31) The position\[x\]of a particle varies with time t as\[x=a{{t}^{2}}b{{t}^{3}}\].The  acceleration  of the particle will be zero at time t equal to
  A)
   \[\frac{a}{b}\]
  done clear
  B)
   \[\frac{2a}{3b}\]
  done clear
  C)
   \[\frac{a}{3b}\]
  done clear
  D)
   \[zero\]
  done clear
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• question_answer32) A body is whirled in a horizontal circle of radius 20 cm. It has angular velocity of 10 rad/s. What is its linear velocity at any point an circular path?
  A)
   10 m/s            
  done clear
  B)
   2 m/s
  done clear
  C)
   20 m/s            
  done clear
  D)
   \[\sqrt{2}\] m/s
  done clear
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• question_answer33) If the over bridge is concave instead of being convex, the thrust on the road at the lowest position will be
  A)
   \[mg+\frac{m{{v}^{2}}}{r}\]
  done clear
  B)
   \[mg-\frac{m{{v}^{2}}}{r}\]
  done clear
  C)
   \[\frac{{{m}^{2}}{{v}^{2}}g}{r}\]
  done clear
  D)
   \[\frac{{{v}^{2}}g}{r}\]
  done clear
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• question_answer34) A quarter horse power motor runs at a speed of 600 rpm. Assuming 40% efficiency, the work done by the motor in one rotation will be
  A)
   7.46 J             
  done clear
  B)
   7400 J
  done clear
  C)
   7.46 erg           
  done clear
  D)
   74.6 J
  done clear
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• question_answer35) A solid cylinder has mass M, length L and radius R. The moment of inertia of this cylinder about a generator is
  A)
   \[M\left( \frac{{{L}^{2}}}{12}+\frac{{{R}^{2}}}{4} \right)\]
  done clear
  B)
   \[\frac{M{{L}^{2}}}{4}\]
  done clear
  C)
   \[\frac{1}{2}M{{R}^{2}}\]
  done clear
  D)
   \[\frac{3}{2}M{{R}^{2}}\]
  done clear
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• question_answer36) The instantaneous displacement of a simple pendulum oscillator is given by \[x=A\,\cos \left( \omega t+\frac{\pi }{4} \right)\]. Its speed will be maximum at time
  A)
   \[\frac{\pi }{4\omega }\]
  done clear
  B)
   \[\frac{\pi }{2\omega }\]
  done clear
  C)
   \[\frac{\pi }{\omega }\]
  done clear
  D)
   \[\frac{2\pi }{\omega }\]
  done clear
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• question_answer37) The relation between time and displacement for two particles is given by \[{{y}_{1}}=0.06\,\sin \,2\pi (0.04t+{{\phi }_{1}})\]and \[{{y}_{2}}=0.03\,\sin \,2\pi (0.04t+{{\phi }_{2}})\] The ratio of the intensity of the waves, produced by the vibrations of the two particles will be
  A)
   2 : 1                
  done clear
  B)
   1 : 2
  done clear
  C)
   4 : 1                
  done clear
  D)
   1 : 4
  done clear
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• question_answer38) To what temperature should the hydrogen at room temperature\[(27{}^\circ C)\]be heated at constant pressure so, that the rms velocity of its molecules becomes double of its previous value?
  A)
   \[1200{}^\circ C\]           
  done clear
  B)
   \[927{}^\circ C\]
  done clear
  C)
   \[600{}^\circ C\]            
  done clear
  D)
   \[108{}^\circ C\]
  done clear
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• question_answer39) The volume of a gas at\[21{}^\circ C\]temperature and 768 mm pressure is 1 litre. If the density of the gas is \[1.2\text{ }g\text{ }d{{m}^{-3}}\] at NTP, then its mass will be
  A)
   4 g              
  done clear
  B)
   4.22 g
  done clear
  C)
   1.13 g            
  done clear
  D)
   10 g
  done clear
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• question_answer40) Which of the following statement are true in a case when two water drops coalesce and make a bigger drop?
  A)
   Energy is neither released and nor absorbed
  done clear
  B)
   Energy is absorbed
  done clear
  C)
   The surface area of the bigger drop is greater than the sum of the surface area of both the drops
  done clear
  D)
   The surface area of the bigger drop is smaller than the sum of the surface areas of both the drops
  done clear
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• question_answer41) If the quantum numbers for the 5th electron in carbon atoms are\[2,1,1,+1/2,\]then for the 6th electron, these values would be
  A)
   \[2,1,0,-\frac{1}{2}\]       
  done clear
  B)
   \[2,0,1,+\frac{1}{2}\]
  done clear
  C)
   \[2,1,1,-\frac{1}{2}\]       
  done clear
  D)
   \[2,1,-1,+\frac{1}{2}\]
  done clear
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• question_answer42) \[C{{H}_{3}}COOH\xrightarrow[{}]{B{{r}_{2}}/P}Y\xrightarrow[(ii)\,{{H}_{3}}{{O}^{+}}]{(i)\,KCN}X\] Here,\[X\]is
  A)
   glycollic acid
  done clear
  B)
  \[\alpha -\]hydroxy propionic acid
  done clear
  C)
   succinic acid
  done clear
  D)
   malonic acid
  done clear
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• question_answer43) Acetic anhydride is prepared in the laboratory by heating sodium acetate with
  A)
   ethyl chloride     
  done clear
  B)
   acetyl chloride
  done clear
  C)
   cone \[{{H}_{2}}S{{O}_{4}}\]        
  done clear
  D)
   zinc dust
  done clear
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• question_answer44) For the homogeneous reaction, \[4N{{H}_{3}}+5{{O}_{2}}4NO+6{{H}_{2}}O\] the equilibrium constant\[{{K}_{c}}\]has the units
  A)
   \[cone{{.}^{+10}}\]          
  done clear
  B)
   \[cone{{.}^{+1}}\]
  done clear
  C)
   \[cone{{.}^{-1}}\]           
  done clear
  D)
   It is dimensionless
  done clear
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• question_answer45) For the reaction, \[N{{H}_{3}}+OC{{l}^{-}}\xrightarrow{{}}{{N}_{2}}{{H}_{4}}+C{{l}^{-}}\] occurring in basic medium, the coefficient of \[{{N}_{2}}{{H}_{4}}\]in the balanced equation will be
  A)
   1               
  done clear
  B)
   2
  done clear
  C)
   3                
  done clear
  D)
   4
  done clear
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• question_answer46) Which one of the following has a coordinate bond?
  A)
   \[N{{H}_{4}}Cl\]                   
  done clear
  B)
   \[AlC{{l}_{3}}\]
  done clear
  C)
   \[NaCl\]
  done clear
  D)
   \[C{{l}_{2}}\]
  done clear
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• question_answer47) Which of the following would exert maximum osmotic pressure?
  A)
   Decinormal aluminium sulphate
  done clear
  B)
   Decinormal barium chloride
  done clear
  C)
   Decinormal sodium chloride
  done clear
  D)
   A solution obtained by mixing equal volumes of  and  and filtering
  done clear
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• question_answer48) Cow milk, an example of natural emulsion is stabilised by
  A)
   fat               
  done clear
  B)
   water
  done clear
  C)
   casein            
  done clear
  D)
  \[M{{g}^{2+}}\]ions
  done clear
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• question_answer49) For a zero order reaction
  A)
   \[{{t}_{1/2}}\propto {{R}_{0}}\]
  done clear
  B)
   \[{{t}_{1/2}}\propto 1/{{R}_{0}}\]
  done clear
  C)
   \[{{t}_{1/2}}\propto R_{0}^{2}\]
  done clear
  D)
   \[{{t}_{1/2}}\propto 1/R_{0}^{2}\]
  done clear
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• question_answer50) The extraction of which of the following metals involves bessemerisation?
  A)
   \[Fe\]
  done clear
  B)
   \[Ag\]
  done clear
  C)
   \[Al\]
  done clear
  D)
   \[Cu\]
  done clear
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• question_answer51) The correct order of decreasing first ionisation energy is
  A)
   \[C>B>Be>Li\]  
  done clear
  B)
   \[C>Be>B>Li\]
  done clear
  C)
   \[B>C>Be>Li\]   
  done clear
  D)
   \[Be>Li>B>C\]
  done clear
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• question_answer52) Consider the following reaction, \[{{C}_{6}}{{H}_{5}}N{{O}_{2}}\xrightarrow[{}]{Sn/HCl}X\xrightarrow[{}]{{{C}_{6}}{{H}_{3}}COCl}Y+HCl\] What is V?
  A)
   Acetanilide       
  done clear
  B)
   Benzinilide
  done clear
  C)
   Azobenzene     
  done clear
  D)
   Hydrazobenzene
  done clear
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• question_answer53) Which of the following is most basic in nature?
  A)
   \[N{{H}_{3}}\]
  done clear
  B)
   \[C{{H}_{3}}N{{H}_{2}}\]
  done clear
  C)
   \[{{(C{{H}_{3}})}_{2}}NH\]
  done clear
  D)
   \[{{C}_{6}}{{H}_{5}}N{{(C{{H}_{3}})}_{2}}\]
  done clear
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• question_answer54) An example of natural biopolymer is
  A)
   Teflon          
  done clear
  B)
   Nylon-66
  done clear
  C)
   Rubber          
  done clear
  D)
   DNA
  done clear
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• question_answer55) Which of the following is known as invert soap?
  A)
   Pentaerythritol monostearate
  done clear
  B)
   Sodium stearyl sulphate
  done clear
  C)
   Trimethyl stearyl ammonium bromide
  done clear
  D)
   Ethoxylated nonyphenol
  done clear
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• question_answer56) Le-blanc process is employed in the manufacture of
  A)
   baking soda      
  done clear
  B)
   washing soda
  done clear
  C)
   potash           
  done clear
  D)
   Plaster of Paris
  done clear
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• question_answer57) Carbon content of
  A)
   steel is in between those of cast iron and wrought iron
  done clear
  B)
   cast iron is in between those of steel and wrought iron
  done clear
  C)
   wrought iron is in between those of steel and cast iron
  done clear
  D)
   steel is higher than that of pig iron
  done clear
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• question_answer58) The IUPAC name of acryldehyde is
  A)
   prop-2-en-l-al     
  done clear
  B)
   propenylaldehyde
  done clear
  C)
   but-2-en-l-al      
  done clear
  D)
   propenal
  done clear
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• question_answer59) The structures\[{{(C{{H}_{3}})}_{3}}CBr\]and\[C{{H}_{3}}{{[C{{H}_{2}}]}_{3}}Br\]represent
  A)
   chain isomerism
  done clear
  B)
   position isomerism
  done clear
  C)
   chain as well as position isomerism
  done clear
  D)
   functional isomerism
  done clear
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• question_answer60) Petrol for aviation purpose must contain
  A)
   straight chain hydrocarbons
  done clear
  B)
   aromatic hydrocarbons
  done clear
  C)
   olefinic hydrocarbons
  done clear
  D)
   highly branched chain paraffins
  done clear
  View Answer play_arrow

• question_answer61) The solubility product of\[H{{g}_{2}}{{I}_{2}}\]is equal to
  A)
   \[[Hg_{2}^{2+}][{{I}^{-}}]\]
  done clear
  B)
   \[[H{{g}^{2+}}][{{I}^{-}}]\]
  done clear
  C)
   \[[Hg_{2}^{2+}]{{[{{I}^{-}}]}^{2}}\]
  done clear
  D)
   \[[H{{g}^{2+}}]{{[{{I}^{-}}]}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer62) The number of atoms contained in a fee unit cell of a monoatomic substance is
  A)
   1               
  done clear
  B)
   2
  done clear
  C)
   4               
  done clear
  D)
   6
  done clear
  View Answer play_arrow

• question_answer63) In the first order reaction, 75% of the reactant gets disappeared in 1.386 h. Therate-etaistani of the reaction is
  A)
   \[3.0\times {{10}^{-3}}{{s}^{-1}}\]
  done clear
  B)
   \[2.8\times {{10}^{-4}}{{s}^{-1}}\]
  done clear
  C)
   \[17.2\times {{10}^{-3}}{{s}^{-1}}\]
  done clear
  D)
   \[1.8\times {{10}^{-3}}{{s}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer64) Moist hydrogen peroxide cannot be dried over cone\[{{H}_{2}}S{{O}_{4}}\]because
  A)
   it can catch fire
  done clear
  B)
   it is reduced by\[{{H}_{2}}S{{O}_{4}}\]
  done clear
  C)
   it is oxidised by\[{{H}_{2}}S{{O}_{4}}\]
  done clear
  D)
   it is decomposed by\[{{H}_{2}}S{{O}_{4}}\]
  done clear
  View Answer play_arrow

• question_answer65) The substance which does not liberate oxygen on treatment with ozone is
  A)
   \[PbS\]
  done clear
  B)
   \[HCl\]
  done clear
  C)
   \[S{{O}_{2}}\]
  done clear
  D)
   \[Hg\]
  done clear
  View Answer play_arrow

• question_answer66) Which one of the following will undergo meta-substitution on monochlorination?
  A)
   Ethoxybenzene   
  done clear
  B)
   Chlorobenzene
  done clear
  C)
   Ethyl benzoate   
  done clear
  D)
   Phenol
  done clear
  View Answer play_arrow

• question_answer67) Propyne on passing through red hot copper tube forms
  A)
   benzene         
  done clear
  B)
   toluene
  done clear
  C)
   mesitylene       
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer68) Which one of the following is mainly responsible for depletion of ozone layer?
  A)
   Methane
  done clear
  B)
   Carbon dioxide
  done clear
  C)
   Water
  done clear
  D)
   Chlorofluorocarbons
  done clear
  View Answer play_arrow

• question_answer69) On warming with silver powder, chloroform is converted into
  A)
   acetylene
  done clear
  B)
   hexachloroethane
  done clear
  C)
   1,1, 2, 2-tetrachloroethane
  done clear
  D)
   ethylene
  done clear
  View Answer play_arrow

• question_answer70) Grignard reagent is not prepared in aqueous medium but prepared in ether medium, because
  A)
   the reagent is highly reactive in ether
  done clear
  B)
   the reagent does not react with water
  done clear
  C)
   the reagent becomes inactive in water
  done clear
  D)
   the reagent reacts with water
  done clear
  View Answer play_arrow

• question_answer71) \[Argol,\]a brown crust, formed during the fermentation of grape juice contains
  A)
   \[C{{O}_{2}}\]
  done clear
  B)
   fused oil
  done clear
  C)
   potassium hydrogen tartarate
  done clear
  D)
   lye
  done clear
  View Answer play_arrow

• question_answer72) \[C{{H}_{3}}CHO+HCHO\xrightarrow[Heat]{Dil.NaOH}A\xrightarrow[{{H}_{3}}{{O}^{+}}]{HCN}B\] The structure of compound B is
  A)
   \[C{{H}_{2}}=CH-\underset{\begin{smallmatrix}  | \\  OH \end{smallmatrix}}{\mathop{CH}}\,-COOH\]
  done clear
  B)
   \[C{{H}_{2}}=CH-\underset{\begin{smallmatrix}  | \\  CN \end{smallmatrix}}{\mathop{CH}}\,-OH\]
  done clear
  C)
   \[C{{H}_{3}}C{{H}_{2}}-\underset{\begin{smallmatrix}  | \\  OH \end{smallmatrix}}{\mathop{CH}}\,-COOH\]
  done clear
  D)
   \[C{{H}_{3}}-\underset{\begin{smallmatrix}  | \\  OH \end{smallmatrix}}{\mathop{CH}}\,-COOH\]
  done clear
  View Answer play_arrow

• question_answer73) The pH value of 0.001 M aqueous solution of \[NaCl\]is
  A)
   7                   
  done clear
  B)
   4
  done clear
  C)
   11                
  done clear
  D)
   unpredictable
  done clear
  View Answer play_arrow

• question_answer74) Which buffer solution comprising of the following has its pH value greater than 7?
  A)
   \[C{{H}_{3}}COOH+C{{H}_{3}}COONa\]
  done clear
  B)
   \[HCOOH+HCOOK\]
  done clear
  C)
   \[C{{H}_{3}}COON{{H}_{4}}\]
  done clear
  D)
   \[N{{H}_{4}}OH+N{{H}_{4}}Cl\]
  done clear
  View Answer play_arrow

• question_answer75) Which of the following has\[s{{p}^{2}}-\]hybridisation?
  A)
   \[{{C}_{2}}{{H}_{6}}\]           
  done clear
  B)
   \[{{C}_{2}}{{H}_{4}}\]
  done clear
  C)
   \[BeC{{l}_{2}}\]           
  done clear
  D)
   \[{{C}_{2}}{{H}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer76) Hydrogen molecule differs from chlorine, molecule in the following respect.
  A)
   Hydrogen molecule is non-polar but chlorine molecule is polar
  done clear
  B)
   Hydrogen molecule is polar while chlorine molecule is non-polar
  done clear
  C)
   Hydrogen molecule can form mtermolecular hydrogen bonds but chlorine molecule does not
  done clear
  D)
   Hydrogen molecule cannot participate in coordinate bond formation but chlorine molecule can
  done clear
  View Answer play_arrow

• question_answer77) The ratio of the difference in energy between the first and the second Bohr orbit to that between the second and the third Bohr orbit is
  A)
   1/2               
  done clear
  B)
   1/3
  done clear
  C)
   4/9               
  done clear
  D)
   27/5
  done clear
  View Answer play_arrow

• question_answer78) Graphite is a
  A)
   molecular solid   
  done clear
  B)
   covalent solid
  done clear
  C)
   ionic solid        
  done clear
  D)
   metallic solid
  done clear
  View Answer play_arrow

• question_answer79) Which one of the following transition metal ions is diamagnetic?
  A)
   \[C{{o}^{2+}}\]
  done clear
  B)
   \[N{{i}^{2+}}\]
  done clear
  C)
   \[C{{u}^{2+}}\]
  done clear
  D)
   \[Z{{n}^{2+}}\]
  done clear
  View Answer play_arrow

• question_answer80) Which of the following metal carbonates decomposes on heating?
  A)
   \[MgC{{O}_{3}}\]
  done clear
  B)
   \[N{{a}_{2}}C{{O}_{3}}\]
  done clear
  C)
   \[{{K}_{2}}C{{O}_{3}}\]          
  done clear
  D)
    \[R{{b}_{2}}C{{O}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer81) The vertices of a triangle are A(1, 1), B(4, 5), and C(6, 13). Then, the value of cos A is
  A)
   \[\frac{63}{65}\]
  done clear
  B)
   \[\frac{60}{65}\]
  done clear
  C)
   \[\frac{61}{63}\]
  done clear
  D)
   \[\frac{63}{62}\]
  done clear
  View Answer play_arrow

• question_answer82) The value of y, so that the line through (3,y) and (2, 7) is parallel to the line through\[(-1,4)\] and (0, 6), is
  A)
   5               
  done clear
  B)
   \[-5\]
  done clear
  C)
   9               
  done clear
  D)
   \[-9\]
  done clear
  View Answer play_arrow

• question_answer83) If the slope of one of the line represented by \[a{{x}^{2}}+2hxy+b{{y}^{2}}=0\]be the square of other, then
  A)
   \[\frac{a+b}{h}+\frac{8{{h}^{2}}}{ab}+6=0\]
  done clear
  B)
   \[\frac{a-b}{h}+\frac{8{{h}^{2}}}{ab}+6=0\]
  done clear
  C)
   \[\frac{a+b}{h}+\frac{8{{h}^{2}}}{ab}=6\]
  done clear
  D)
   \[\frac{a-b}{h}+\frac{8h}{a{{b}^{2}}}=6\]
  done clear
  View Answer play_arrow

• question_answer84) The angle between the pair of tangents to circle \[{{x}^{2}}+{{y}^{2}}+4x+2y-4=0\]from the point (1,1/2) is
  A)
   \[{{\cos }^{-1}}\left[ \frac{4}{5} \right]\]
  done clear
  B)
   \[{{\sin }^{-1}}\left[ \frac{4}{5} \right]\]
  done clear
  C)
   \[{{\sin }^{-1}}\left[ \frac{3}{5} \right]\]
  done clear
  D)
   \[{{\tan }^{-1}}\left[ \frac{3}{5} \right]\]
  done clear
  View Answer play_arrow

• question_answer85) \[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{\tan }^{-1}}x-{{\sin }^{-1}}x}{{{x}^{3}}}\]equals
  A)
   \[\frac{1}{2}\]
  done clear
  B)
   \[-\frac{1}{2}\]
  done clear
  C)
   \[\frac{3}{2}\]
  done clear
  D)
   \[-\frac{3}{2}\]
  done clear
  View Answer play_arrow

• question_answer86) If\[f(x)=\frac{1}{{{x}^{2}}-17x+66},\]then for what values of\[x,f\left( \frac{2}{x-2} \right)\]is discontinuous?
  A)
   \[2,\frac{7}{3},\frac{25}{11}\]
  done clear
  B)
   \[2,\frac{8}{3},\frac{24}{11}\]
  done clear
  C)
   \[2,\frac{7}{3},\frac{24}{11}\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer87) The equation of normal to the curve \[y={{(1+x)}^{y}}+{{\sin }^{-1}}({{\sin }^{2}}x)\]at\[x=0\]is
  A)
   \[x+y=2\]          
  done clear
  B)
   \[x+y=1\]
  done clear
  C)
   \[x-y=1\]          
  done clear
  D)
   \[x-y=2\]
  done clear
  View Answer play_arrow

• question_answer88) The value of\[\int{\frac{{{x}^{2}}-1}{{{x}^{4}}+{{x}^{2}}+1}}dx\]is
  A)
   \[\log ({{x}^{2}}+{{x}^{2}}+1)+c\]
  done clear
  B)
   \[\log \left| \frac{{{x}^{2}}-x+1}{{{x}^{2}}+x+1} \right|+c\]
  done clear
  C)
   \[\frac{1}{2}\log \left| \frac{{{x}^{2}}-x+1}{{{x}^{2}}+x+1} \right|+c\]
  done clear
  D)
   \[\frac{1}{2}\log \left| \frac{{{x}^{2}}+x+1}{{{x}^{2}}-x+1} \right|+c\]
  done clear
  View Answer play_arrow

• question_answer89) If\[f(x)=x+2,\]then\[f'(f(x))\]at\[x=4\]is
  A)
   8               
  done clear
  B)
   1
  done clear
  C)
   4               
  done clear
  D)
   5
  done clear
  View Answer play_arrow

• question_answer90) Equation of tangent to the hyperbola \[2{{x}^{2}}-3{{y}^{2}}=6\]which is parallel to the line \[y=3x+4,\]is
  A)
   \[y=3x-4\]       
  done clear
  B)
   \[y=3x-5\]
  done clear
  C)
   \[y=3x+5\]       
  done clear
  D)
   \[y=3x\pm 5\]
  done clear
  View Answer play_arrow

• question_answer91) If the eccentricity of hyperbola \[{{x}^{2}}-{{y}^{2}}se{{c}^{2}}\alpha =5\]is\[\sqrt{3}\]times the eccentricity of the ellipse\[{{x}^{2}}\text{ }se{{c}^{2}}\alpha +{{y}^{2}}=25,\]then value of \[\alpha \]is        
  A)
   \[\frac{\pi }{6}\]
  done clear
  B)
   \[\frac{\pi }{3}\]
  done clear
  C)
   \[\frac{\pi }{2}\]
  done clear
  D)
   \[\frac{\pi }{4}\]
  done clear
  View Answer play_arrow

• question_answer92) Determine the locus of that point such that the sum of its distances from\[(2,-3)\]and (2, 5) is always 10.
  A)
   \[\frac{{{(x-2)}^{2}}}{25}+\frac{{{(y-1)}^{2}}}{9}=1\]
  done clear
  B)
   \[\frac{{{(x-2)}^{2}}}{25}+\frac{{{(y-1)}^{2}}}{16}=1\]
  done clear
  C)
   \[\frac{{{(x-2)}^{2}}}{16}+\frac{{{(y-1)}^{2}}}{9}=1(d)\]
  done clear
  D)
   \[\frac{{{(x-2)}^{2}}}{9}+\frac{{{(y-1)}^{2}}}{25}=1\]
  done clear
  View Answer play_arrow

• question_answer93) Determine the latusrectum of a parabola whose focal chord is PSQ such that\[SP=3\]and \[SQ=2\].
  A)
   \[\frac{24}{5}\]
  done clear
  B)
   \[\frac{12}{5}\]
  done clear
  C)
   \[\frac{6}{5}\]                
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer94) Equation\[{{x}^{2}}+{{y}^{2}}-2xy+20x+10=0\]represents the curve
  A)
   circle            
  done clear
  B)
   parabola
  done clear
  C)
   ellipse           
  done clear
  D)
   hyperbola
  done clear
  View Answer play_arrow

• question_answer95) Solution of the differential equation \[\frac{dy}{dx}=\frac{{{x}^{2}}+{{y}^{2}}+1}{2xy},y(1)=0\]is
  A)
   a hyperbola       
  done clear
  B)
   a parabola
  done clear
  C)
   an ellipse         
  done clear
  D)
   a circle
  done clear
  View Answer play_arrow

• question_answer96) If\[\overrightarrow{a}=\hat{i}+2\hat{j}+2\hat{k}\]and\[\overrightarrow{b}=3\hat{i}+6\hat{j}+2\hat{k},\] then the vector in the direction of\[\overrightarrow{a}\]and having magnitude as\[|\overrightarrow{b}|\]is
  A)
   \[7(\hat{i}+2\hat{j}+2\hat{k})\]
  done clear
  B)
   \[\frac{7}{9}(\hat{i}+2\hat{j}+2\hat{k})\]
  done clear
  C)
   \[\frac{7}{3}(\hat{i}+2\hat{j}+2\hat{k})\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer97) If the vectors\[a+\lambda \overrightarrow{b}+3\overrightarrow{c},-2\overrightarrow{a}+3\overrightarrow{b}-4\overrightarrow{c}\]and \[\overrightarrow{a}-3\overrightarrow{b}+5\overrightarrow{c}\]are coplanar, then the value of\[\lambda \] is
  A)
   2                
  done clear
  B)
   \[-1\]
  done clear
  C)
   1              
  done clear
  D)
   \[-2\]
  done clear
  View Answer play_arrow

• question_answer98) If the planes\[\overrightarrow{r}.(2\hat{i}+\lambda \hat{j}-3\hat{k})=0\]and\[\overrightarrow{r}.(\lambda \hat{i}-3\hat{j}+\hat{k})=5\]are perpendicular, then value of\[\lambda \]is
  A)
   2                  
  done clear
  B)
   \[-2\]
  done clear
  C)
   3                
  done clear
  D)
   \[-3\]
  done clear
  View Answer play_arrow

• question_answer99) The distance from the point (3,4,5) to the point where the line\[\frac{x-3}{1}=\frac{y-4}{2}=\frac{z-5}{2}\] meets the plane\[x+y+z=17\]is
  A)
   1                
  done clear
  B)
   2
  done clear
  C)
   3                
  done clear
  D)
   4
  done clear
  View Answer play_arrow

• question_answer100) Which of the following is true?
  A)
   \[7+6i>3+2i\]    
  done clear
  B)
   \[7+2i>6+5i\]
  done clear
  C)
   \[3+7i>12+2i\]   
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer101) The value of amp\[(i\omega )+\]amp\[(i{{\omega }^{2}})\]is
  A)
   \[0\]
  done clear
  B)
   \[\frac{\pi }{6}\]
  done clear
  C)
   \[\frac{\pi }{2}\]
  done clear
  D)
   \[\pi \]
  done clear
  View Answer play_arrow

• question_answer102) The value of x for which\[|x+3|>|2x-1|\]is
  A)
   \[\left( -\frac{2}{3},4 \right)\]
  done clear
  B)
   \[\left( \frac{-2}{3},\infty  \right)\]
  done clear
  C)
   (0,1)              
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer103) Square root of\[-2+2\sqrt{3i}\]is
  A)
   \[\pm (1+\sqrt{3}i)\]
  done clear
  B)
   \[\pm (1-\sqrt{3}i)\]
  done clear
  C)
   \[\pm (1+\sqrt{3}i)\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer104) Let\[{{S}_{n}}\]denotes the sum of n terms of an AP. If \[{{S}_{2n}}=3{{S}_{n}},\]then\[{{S}_{3n}}:{{S}_{n}}\]isequalto
  A)
   4               
  done clear
  B)
   6
  done clear
  C)
   8               
  done clear
  D)
   10
  done clear
  View Answer play_arrow

• question_answer105) If\[x,\text{ }y,\text{ }z\]are positive then, minimum value of \[{{x}^{\log y-\log z}}+{{y}^{\log z-\log x}}+{{z}^{\log x-\log y}}\]is
  A)
   0                   
  done clear
  B)
   1
  done clear
  C)
   2                   
  done clear
  D)
   3
  done clear
  View Answer play_arrow

• question_answer106) If\[\log (a+c),\log (c-a),\log (a-2b+c)\]are in AP.then
  A)
   a,b,c are in AP    
  done clear
  B)
  \[{{a}^{2}},{{b}^{2}},{{c}^{2}}\]are in AP
  done clear
  C)
   a,b, care in GP   
  done clear
  D)
  \[a,b,c\]careinHP
  done clear
  View Answer play_arrow

• question_answer107) Roots of the equation\[(x-a)\text{ (}x-b)=ab{{x}^{2}}\]are
  A)
   real              
  done clear
  B)
   imaginary
  done clear
  C)
   can?t say         
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer108) The value of kfor which the roots of the equation\[{{x}^{2}}+2(k+1)x+{{k}^{2}}=0\]are equal to
  A)
   \[-1\]             
  done clear
  B)
   \[-\frac{1}{2}\]
  done clear
  C)
   \[1\]              
  done clear
  D)
   \[\frac{1}{2}\]
  done clear
  View Answer play_arrow

• question_answer109) Manoj, Mohit, Rohit and Shivani want to give speeches in the class. How many possible ways are for their speeches?
  A)
   12    
  done clear
  B)
   24    
  done clear
  C)
   36   
  done clear
  D)
   4
  done clear
  View Answer play_arrow

• question_answer110) How many lines can be drawn from 6 points on a circle?
  A)
   12                
  done clear
  B)
   15
  done clear
  C)
   30                
  done clear
  D)
   60
  done clear
  View Answer play_arrow

• question_answer111) The total number of ways of selecting five letters from the letters of the word 'INDEPENDENT' is
  A)
   72              
  done clear
  B)
   27
  done clear
  C)
   36              
  done clear
  D)
   64
  done clear
  View Answer play_arrow

• question_answer112) If the coefficient of\[{{x}^{7}}\]in\[{{\left( a{{x}^{2}}+\frac{1}{bx} \right)}^{11}}\]. and the coefficient of\[{{x}^{-7}}\]in\[{{\left( ax-\frac{1}{b{{x}^{2}}} \right)}^{11}}\]are equal, then ab is equal to
  A)
   1              
  done clear
  B)
   2
  done clear
  C)
   3               
  done clear
  D)
   4
  done clear
  View Answer play_arrow

• question_answer113) The roots of the equation\[\left| \begin{matrix}    x & \alpha  & 1  \\    \beta  & x & 1  \\    \beta  & \gamma  & 1  \\ \end{matrix} \right|=0\]are independent of  
  A)
   \[\alpha \]                
  done clear
  B)
   \[\beta \]
  done clear
  C)
   \[\gamma \]                 
  done clear
  D)
   All of these
  done clear
  View Answer play_arrow

• question_answer114) If each element of a\[3\times 3\] matrix is multiplied by 3, then the determinant of the newly formed matrix is
  A)
   \[3|A|\]
  done clear
  B)
   \[9|A|\]
  done clear
  C)
   \[27|A|\]
  done clear
  D)
   \[|A{{|}^{3}}\]
  done clear
  View Answer play_arrow

• question_answer115) The system of linearequations \[x+y+z=2,\] \[2x+y-z=3,\]\[3x+2y+kz=4\]has a unique solution, if
  A)
   \[k\ne 0\]           
  done clear
  B)
   \[-1<k<1\]
  done clear
  C)
   \[-2<k<2\]       
  done clear
  D)
   \[k=0\]
  done clear
  View Answer play_arrow

• question_answer116) If X and Y are two sets, then\[X\cap (Y\cup X)'\]is equal to
  A)
   \[X\]                
  done clear
  B)
   \[Y\]
  done clear
  C)
   \[\phi \]   
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer117) If\[n(A)=4\]and\[n(B)=7,\]then minimum and maximum value of\[n(A\cup B)\]are
  A)
   4, 7            
  done clear
  B)
   7,11
  done clear
  C)
   4, 11            
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer118) If\[f(x)={{\sin }^{2}}x+{{\sin }^{2}}(x+\pi /3)\]\[+\cos x\cos (x+\pi /3)\]and\[g\left( \frac{5}{4} \right)=1,\]then\[(gof)(x)\]is equal to
  A)
   1                
  done clear
  B)
   0
  done clear
  C)
   \[sin\text{ }x\]             
  done clear
  D)
   \[cos\text{ }x\]
  done clear
  View Answer play_arrow

• question_answer119) The probability that at least one of the events A and B occurs is\[\frac{3}{5}.\] If A and B occur simultaneously with probability\[\frac{1}{5},\]then \[P(\overline{A})+P(\overline{B})\]is
  A)
   \[\frac{2}{5}\]
  done clear
  B)
   \[\frac{4}{5}\]
  done clear
  C)
   \[\frac{6}{5}\]
  done clear
  D)
   \[\frac{7}{5}\]
  done clear
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• question_answer120) There are 4 white and 3 black balls in a bag. In another bag there are 3 white j and 4 black balls. If a ball is picked and it is found to be black, then the probability that the ball is drawn from the second bag is
  A)
   \[\frac{1}{7}\]             
  done clear
  B)
   \[\frac{2}{7}\]
  done clear
  C)
  \[\frac{3}{7}\]             
  done clear
  D)
  \[\frac{4}{7}\]
  done clear
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