question_answer2) A proton in a cyclotron changes its velocity from 30 km/s north to 40 km/s east in 20s. What is the magnitude of average acceleration during this time?
question_answer3) A heavy small-sized sphere is suspended by a string of length L The sphere rotates uniformly in a horizontal circle with the string making an angle\[\theta \]with the vertical. Then, the time-period of this conical pendulum is
question_answer4) The equation of the stationary wave is \[y=2A\sin \left( \frac{2\pi ct}{\lambda } \right)\cos \left( \frac{2\pi x}{\lambda } \right)\] Which of the following statements is wrong?
A)
The unit of\[ct\]is same as that of\[\lambda \]
doneclear
B)
The unit of\[x\]is same as that of \[\lambda \]
doneclear
C)
The unit of\[2\pi c/\lambda \] is same as that of\[2\pi x/\lambda t\]
doneclear
D)
The unit of\[c/\lambda \]is same as that of \[x/\lambda \]
question_answer5) A body of mass 2 kg has an initial velocity of 3 m/s along OE and it is subjected to a force of 4 N in a direction perpendicular to OE. The distance of body from 0 after 4 s will be
question_answer7) When a metal wire elongates by hanging a load Mg on it, the gravitational potential energy of mass M decreases by\[Mgl\]. This energy appears
A)
as elastic potential energy completely
doneclear
B)
as thermal energy completely
doneclear
C)
half as elastic potential energy and half as thermal energy
question_answer8) A ball is projected from the ground at angle\[\theta \] with the horizontal. After Is it is moving at angle 45° with the horizontal and after 2 s it is moving horizontally. What is the velocity of projection of the ball?
question_answer10) An engine is moving on a circular path of radius 100 m with a speed of 20 m/s. What will be the frequency observed by an observer standing stationary at the centre of circular path when the engine blows a whistle of frequency 500 Hz?
question_answer11) The work done by a particle moving with a velocity of 0.7 c (where c is the velocity of light) in empty space free of electromagnetic field and far away from all matter is:
question_answer12) A boat carrying a number of large stones is floating in a water tank. What will happen to the water level if the stones are unloaded into water?
A)
rise
doneclear
B)
fall
doneclear
C)
remain unchanged
doneclear
D)
rise till half the number of stones are unloaded and then begin to fall
question_answer13) A car of mass m moves in a horizontal circular path of radius r m. At an instant its speed is v m/s and is increasing at a rate of\[a\text{ }m/{{s}^{2}}\]. Then the acceleration of the car is
question_answer15) The velocity v (in cm/s) of a particle is given in terms of time t (in s) by the equation, \[v=at+\frac{b}{t+c}\] The dimensions of a, b and c are
question_answer16) A block of mass 5 kg is moving horizontally at a speed of\[1.5\text{ }m{{s}^{-1}}\]. A vertically upward force 5 N acts on it for 4 s. What will be the distance of the block from the point where the force starts acting?
question_answer17) A copper wire and a steel wire of the same diameter and length are joined end to end and a force is applied which stretches their combined length by 1 cm. Then the two wires will have
question_answer18) A body of mass 1 kg is rotating in a vertical circle of radius 1m. What will be the difference in its kinetic energy at the top and bottom of the circle? (take\[g=10\text{ }m{{s}^{-2}}\])
question_answer19) Find the difference of-air pressure between the inside and outside of a soap bubble 5mm in diameter, if the surface tension is\[1.6\,N{{m}^{-1}}\]
question_answer20) In a sinusoidal wave, the time required for a particular point to move from maximum displacement to zero displacement is 0.17s. The frequency of the wave is
question_answer22) A cube made of material having a density of \[0.9\times {{10}^{3}}kg/{{m}^{3}}\]floats between water and a liquid of density\[0.7\times {{10}^{3}}kg/{{m}^{3}},\]which is immiscible with water. What part of the cube is immersed in water?
question_answer24) Given that T stands for time period and I stands for the length of simple pendulum. If g is the acceleration due to gravity, then which of the following statements about the relation \[{{T}^{2}}=l/g\]is correct?
A)
It is correct both dimensionally as well as numerically
doneclear
B)
It is neither dimensionally correct nor numerically
question_answer25) The length of the seconds pendulum is decreased by 0.3 cm when it is shifted to Chennai from London. If the acceleration due to gravity at London is\[981\text{ }cm/{{s}^{2}},\]the acceleration due to gravity at Chennai is (assume\[{{n}^{2}}=10\])
question_answer26) A clock hung on a wall has marks instead of numerals on its dial. On the adjoining wall, there is a plane mirror and the image of the clock in the mirror indicates the time\[7:10\]. Then the time on the clock is
question_answer27) How does, the electric field (E) between the plates of a charged cylindrical capacitor vary with the distance r from the axis of the cylinder?
question_answer28) The radioactivity of a sample is\[{{A}_{1}}\]at time\[{{t}_{1}}\]and \[{{A}_{2}}\]at time\[{{t}_{2}}\]. If the mean life of the specimen is T, the number of atoms that have disintegrated in the time interval of\[({{t}_{2}}-{{t}_{1}})\]is
question_answer29) The Youngs. double slit experiment is performed with blue and with green light of wavelengths\[4360\overset{o}{\mathop{\text{A}}}\,\]and\[5460\overset{o}{\mathop{\text{A}}}\,\]respectively. If \[x\]is the distance of 4th maximum from the central one, then
question_answer30) A vertical straight conductor carries a current upward. A point P lies to the east of it at a small distance and another point Q lies to the west at the same distance. The magnetic field at\[P\]is
A)
greater than at Q
doneclear
B)
same as at Q
doneclear
C)
less than at Q
doneclear
D)
greater or less than at Q depending upon the strength of current
question_answer31) Given \[_{a}{{\mu }_{g}}=3/2\]and\[_{a}{{\mu }_{w}}=4/3\]. There is an equiconvex lens with radius of each surface equal to 20 cm. There is air in the object space and water in the image space. The focal length of lens is
question_answer33) When 1A of current is passed through\[CuS{{O}_{4}}\] solution for\[10\text{ }s\]. then the number of copper ions deposited at the cathode will be
question_answer36) A 50 Hz alternating current of peak value 1A flows through the primary coil of a transformer. If the mutual inductance between the primary and secondary be 1.5 H, then the mean value of the induced voltage is
question_answer37) A cell of emf E and internal resistance r is connected in series with an external resistance nr. Then the ratio of the terminal potential difference to emf is
question_answer38) A slide projector gives a magnification of 10. If it projects a slide of dimensions\[3\text{ }cm\times 2\text{ }cm\] on a screen, the area of the image on the screen will be
question_answer39) A thin bar magnet of length 2L is bent at the mid-point so that the angle between them is\[60{}^\circ \]. The new length of the magnet is:
question_answer40) The binding energies of the atoms of elements A and B are\[{{E}_{a}}\]and\[{{E}_{b}}\]respectively. Three atoms of the element B fuse to give one atom of element A. This fusion process is accompanied by release of energy e. Then\[{{E}_{a}},{{E}_{b}}\]and e are related to each other as
question_answer43) A radioactive sample with a half-life of 1 month has the label Activity\[=2\mu \,Ci\]on\[1-8-1991\]. What was its activity two months earlier?
question_answer44) An inductor is connected to a battery through a switch. Induced emf is\[{{e}_{1}}\]when the switch is pressed and\[{{e}_{2}}\]when the switch is opened. Then
question_answer45) The resolution limit of the eye is 1 min. At a distance\[x\]km from the eye, two persons stand with a lateral separation of 3m. For the two persons to be just resolved by the naked eye,\[x\] should be
question_answer50) A thin prism\[{{P}_{1}}\]with angle\[4{}^\circ \]arid made from glass of refractive index 1.54 is combined with another thin prism\[{{P}_{2}}\]made from glass of refractive index 1.72 to produce dispersion without deviation. The angle of the prism\[{{P}_{2}}\]is
question_answer53) An object of mass 10 kg moves at a constant speed of 10 m/s. A constant force, that acts for 4 s on the object, gives it a speed 2 m/s in opposite direction. The force acting on the object is
question_answer54) The vessels A and B of equal volume and Weight are immersed in water to depth h. The vessel A has an opening at the bottom through which water can enter. If the work done in immersing A and B are\[{{W}_{A}}\]and\[{{W}_{B}}\]respectively, then
question_answer55) A car of mass 1000 kg moves on a circular track of radius 20 m. If the coefficient of friction is 0.64, then the maximum velocity with which the car can move is
question_answer58) A long spring, when stretched by a distance\[x,\]has potential energy U. On increasing the stretching to\[nx,\]the potential energy of the spring will be
question_answer63) The ratio of amounts of\[{{H}_{2}}S\]needed to precipitate all the metal ions from 100 mL of \[1\text{ }M\text{ }AgN{{O}_{3}}\]and 100 mL of\[1\text{ }M\text{ CuS}{{\text{O}}_{4}}\]will be
question_answer66) Formaldehyde polymerizes to form glucose according to the reaction \[6HCHO\rightleftharpoons {{C}_{6}}{{H}_{12}}{{O}_{6}}\] The theoretically computed equilibrium constant for this reaction is found to be\[6\times {{10}^{22}}\] If 1 M solution of glucose dissociates according to the above equilibrium, the concentration of formaldehyde in the solution will be
question_answer67) The electronic configuration of a dipositive ion \[{{M}^{2+}}\]is 2, 8, 14 and its mass number is 56. The number of neutrons present is
question_answer68) If\[X\]is the total number of collisions which a gasmolecule register with others per unit time under particular conditions, then the collision frequency of the gas containing N molecules per unit volume is
question_answer69) A hypothetical reaction\[{{A}_{2}}+{{B}_{2}}\xrightarrow[{}]{{}}2AB\]follows the mechanism as given below, \[{{A}_{2}}\rightleftharpoons A+A\] (fast) \[A+{{B}_{2}}\xrightarrow[{}]{{}}AB+B\] (slow) \[A+B\xrightarrow[{}]{{}}AB\] (fast) The order of the overall reaction is
question_answer70) The mass of helium atom of mass number 4 is 4.0026 amu, while that of the neutron and proton are 1.0087 and 1.0078 respectively on the same scale. Hence, the nuclear binding energy per nucleon in the helium atom is nearly
question_answer72) For the square planar complex [M] (where, M = central metal and a, b, c and d are monodentate ligands), the number of possible geometrical isomers are
question_answer76) How many number of atoms are there in a cube based unit cell having one atom on each comer and two atoms on each body diagonal of cube?
question_answer80) If\[N{{a}^{+}}\]ion is larger than\[M{{g}^{2+}}\]ion and\[{{S}^{2-}}\]ion is larger than CF ion, which of the following will be stable soluble in water?
question_answer82) Which of the following salt would give\[S{{O}_{2}}\] with hot and dil.\[{{H}_{2}}S{{O}_{4}}\]and also decolourises\[B{{r}_{2}}\]water?
question_answer90) The heat of combustion of solid benzoic acid at constant volume is\[-321.30\text{ }kJ\]at\[27{}^\circ C\]. The heat of combustion at constant pressure is
question_answer93) The total number of acylic isomers including the stereoisomers (geometrical and optical), with the molecular formula\[{{C}_{4}}{{H}_{7}}Cl\]is
question_answer97) The number of\[\alpha -\]and\[\beta -\] particles emitted in nuclear reaction\[_{90}T{{h}^{228}}{{\xrightarrow[{}]{{}}}_{83}}B{{i}^{212}}\]are respectively
question_answer99) A salt on treatment with dil.\[HCl\]gives a pungent smelling gas and a yellow precipitate. The salt gives green flame test and a yellow precipitate with potassium chromate the salt is
question_answer102) An organic compound,\[{{C}_{3}}{{H}_{6}}O\]does not give a precipitate with 2, 4-dinitrophenyl hydrazine reagent and does not react with metallic sodium. It could be
question_answer108) Consider the following statements The rate law for the acid catalysed hydrolysis of an ester being given as Rate\[=k[{{H}^{+}}][ester]=k[ester]\]. If the acid concentration is doubled at constant ester concentration
1. The second order rate constant, k is doubled.
2. The pseudo first order rate constant, k is doubled.
question_answer115) An aromatic compounds X with molecular formula\[{{C}_{8}}{{H}_{10}}\]produces on nitration one mononitro derivative and three dinitro derivatives. Compound X would be
question_answer116) The end product C in the following sequence of chemical reactions is \[C{{H}_{3}}COOH\xrightarrow[{}]{CaC{{O}_{3}}}A\xrightarrow[{}]{heat}B\xrightarrow[{}]{N{{H}_{2}}OH}C\]
question_answer117) The only cations present in a slightly acidic solution are\[F{{e}^{3+}},Z{{n}^{2+}}\]and\[C{{u}^{2+}}\]. The reagent that when added in excess to this solution would identify and separate\[F{{e}^{3+}}\]in one step is
question_answer118) The nucleus of an atom can be assumed to be spherical. The radius of the nucleus of mass number A is given by\[1.25\times {{10}^{-13}}\times {{A}^{1/3}}cm\].Radius of atom is one\[\overset{o}{\mathop{\text{A}}}\,\]. If the mass number is 64, then the fraction of the atomic volume that is occupied by the nucleus is
question_answer129) A bacterium divides after every 35 minutes. If a culture containing\[{{10}^{5}}\]cells per mL is grown, then cell concentration per mL after 175 minutes will be
question_answer201) Directions: In each of the following questions, choose the alternative which best expresses the meaning of the word given in capital letters. INTREPID
question_answer202) Directions: In each of the following questions, choose the alternative which best expresses the meaning of the word given in capital letters. LAMENTABLE
question_answer203) Directions: In each of the following questions, choose the alternative which best expresses the meaning of the word given in capital letters. DEFT
question_answer204) Directions: In each of the following questions, choose the alternative which best expresses the meaning of the word given in capital letters. HOARD
question_answer205) Directions: In each of the following questions, choose the most suitable alternative to fill in the blank. He is too dull...... the problem.
question_answer206) Directions: In each of the following questions, choose the most suitable alternative to fill in the blank. The speaker drew the attention of the audience ...... the burning issue.
question_answer207) Directions: In each of the following questions, choose the most suitable alternative to fill in the blank. Its nine oclock ...... and Im still at breakfast.
question_answer208) Directions: In each of the following questions, choose the most suitable alternative to fill in the blank. Although he is blind, he is very fast ...... calculations.
question_answer209) Directions: In each of the following questions, choose the alternative which is opposite in meaning to the word given in capital letters. VIRTUE
question_answer210) Directions: In each of the following questions, choose the alternative which is opposite in meaning to the word given in capital letters. ZEAL
question_answer211) Directions: In each of the following questions, choose the alternative which is opposite in meaning to the word given in capital letters. AGONY
question_answer212) Directions: In each of the following questions, choose the alternative which is opposite in meaning to the word given in capital letters. ERUDITE
question_answer217) Directions: In each of the following questions, choose the alternative which can best improve the given sentence by substituting the italicised portion. If the sentence is correct as it is, your answer is. Older people often stay at home and watch TV because it is cold and dark in winter.
question_answer218) Directions: In each of the following questions, choose the alternative which can best improve the given sentence by substituting the italicised portion. If the sentence is correct as it is, your answer is. You must find someone to accompany you to Mumbai
question_answer219) Directions: In each of the following questions, choose the alternative which can best improve the given sentence by substituting the italicised portion. If the sentence is correct as it is, your answer is. No sooner he reached home than all the villagers gathered at his home to listen to his story.
question_answer220) Directions: In each of the following questions, choose the alternative which can best improve the given sentence by substituting the italicised portion. If the sentence is correct as it is, your answer is. I wish I was with him.
question_answer221) Directions: In the following questions, choose the option which shows common feature in the relationship given in each question. Sandstone : Limestone : Coal
question_answer222) Directions: In the following questions, choose the option which shows common feature in the relationship given in each question. Sweep : Scrub : Wipe
question_answer223) Directions: In the following questions, choose the option which shows common feature in the relationship given in each question. Delhi: Agra : Mathura
question_answer224) Directions: In the following questions, choose the option which shows common feature in the relationship given in each question. Press : Television : Cinema
question_answer225) Directions: In the following questions, choose the option which shows common feature in the relationship given in each question. Comets : Stars : Satellites
question_answer226) Directions: In the questions, choose the group of words that shows the same relationship as given at the top of every question. Magazine : Story : Article
question_answer227) Directions: In the questions, choose the group of words that shows the same relationship as given at the top of every question. Juice : Orange : Banana
question_answer228) Directions: In the questions, choose the group of words that shows the same relationship as given at the top of every question. Carnivorous : Tiger : Wolf
question_answer229) Directions: In the questions, choose the group of words that shows the same relationship as given at the top of every question. Rain : Cloud : Evaporation
question_answer230) Directions: In the questions, choose the group of words that shows the same relationship as given at the top of every question. Dog : Squirrel: Tail