Solved papers for JCECE Engineering JCECE Engineering Solved Paper-2005
done JCECE Engineering Solved Paper-2005 Total Questions - 150
question_answer1) If the velocity of light \[c\], gravitational constant \[G\] and Planck's constant \[h\], are chosen as fundamental units, the dimensional formula of length L in the new system is:
question_answer3) A block of mass \[2\,\,kg\] rests on a plane inclined at an angle of \[{{30}^{o}}\] with the horizontal. The coefficient of friction between the block and surface is \[0.7\]. The frictional force acting on the block is:
question_answer4) A particle moves along \[Y-\]axis in such a way that its \[y-\]coordinate varies with time \[t\] according to the relation \[y=3+5t+7{{t}^{2}}\]. The initial velocity and acceleration of the particle are respectively:
question_answer5) An object travels north with a velocity of \[10\,\,m{{s}^{-1}}\] and then speeds up to a velocity of \[25\,\,m{{s}^{-1}}\]in\[5\,s\]. The acceleration of the object in these \[5\,s\] is:
question_answer6) An automobile travelling at \[50\,\,km/h\], can be stopped at a distance of \[40\,\,m\] by applying brakes. If the same automobile is travelling at \[90\,\,km/h\], all other conditions remaining same and assuming no skidding, the minimum stopping distance in metres is:
question_answer7) A rifle shoots a bullet with a muzzle velocity of \[500\,\,m{{s}^{-1}}\] at a small target \[50\,\,m\] away. To hit the target the rifle must be aimed: (Take\[g=10\,\,m{{s}^{-2}})\]
question_answer9) An \[\alpha -\]particle of mass m suffers one dimensional elastic collision with a nucleus of unknown mass. After the collision the \[\alpha -\]particle is scattered directly backwards losing \[75%\] of its kinetic energy. The mass of the unknown nucleus is:
question_answer10) If a transformer of an audio amplifier has output impedance \[8000\,\,\Omega \] and the speaker has input impedance of \[8\,\,\Omega \], the primary and secondary turns of this transformer connected between the output of amplifier and to loud speaker should have the ratio:
question_answer11) A stationary body of mass m explodes into the three parts having masses in the ratio\[1:3:3\]. The two fractions with equal masses move at right angles to each other with a velocity of\[1.5\,\,m{{s}^{-1}}\]. The velocity of the third part is:
question_answer13) An object of mass \[m\] falls on to a spring of constant \[k\] from height \[h\]. The spring undergoes compression by a length \[x\]. The maximum compression \[x\] is given by the equation:
question_answer14) A \[5000\,\,kg\] rocket is set for vertical, firing. The exhaust speed, is \[800\,\,m/s\]. To, give an initial upward acceleration of \[20\,\,m/{{s}^{2}}\], the amount of gas ejected per second to supply the needed thrust will be:
question_answer15) An elastic ball is dropped from a height \[h\] and it rebounds many times from the floor. If the coefficient of restitution is \[e\], the time interval between the second and the third impact, is:
question_answer16) An object of mass \[m\] is attached to light string which passes through a hollow tube. The object is set into rotation in a horizontal circle of radius \[{{r}_{1}}\]. If the string is pulled shortening the radius to \[{{r}_{2}}\], the ratio of new kinetic energy to the original kinetic energy is:
question_answer18) A car is racing on a circular track of \[180\,\,m\] radius with a speed of \[32\,\,m{{s}^{-1}}\]. What should be the banking angle of the road to avoid chances of skidding of the vehicle at this speed without taking into consideration the friction between the tyre and the road?
question_answer19) When a ceiling fan is switched on it makes \[10\] rotations in the first \[3\,\,s\]. The number of rotations it makes in the next \[3\,\,s\], assuming uniform angular acceleration is:
question_answer20) A body is projected vertically upwards from the surface of a planet of radius r with a velocity equal to l/3rd the escape velocity for the planet. The maximum height attained by the body is:
question_answer21) A man weighs \[80\,\,kg\] on earth's surface. The height above ground where he will weigh \[40\,\,kg\], is: (Radius of earth is\[6400\,\,km)\]
question_answer22) An adulterated sample of milk has a density of\[1032\,\,kg\text{-}{{m}^{-3}}\], while pure milk has a density of\[1080\,\,kg\text{-}{{m}^{-3}}\]. The volume of pure milk in a sample of \[10\,\,L\] adulterated milk is:
question_answer23) Typical silt (hard mud) particle of radius \[20\,\,\mu m\] is on the top of lake water, its density is \[2000\,\,kg/{{m}^{3}}\] and the viscosity of lake water is\[1.0\,\,m\,\,Pa\], density is \[1000\,\,kg/{{m}^{3}}\]. If the lake is still (has no internal fluid motion), the terminal speed with which the particle hits the bottom of the lake in \[mm/s\] is:
question_answer25) If \[P\] is the pressure, \[V\] the volume, \[R\] the gas constant, \[k\] the Boltzmann constant and \[T\] the absolute temperature, then the number of molecules in the given mass of the gas is given by:
question_answer26) An air bubble is released from the bottom of a pond and is found to expand to thrice its original volume as it reached the surface. If the atmospheric pressure is \[100\,\,kPa\], the absolute pressure at the bottom of lake in \[kPa\] is ... (assume no temperature variation) :
question_answer28) \[1\,\,g\] of steam at \[{{100}^{o}}C\] and equal mass of ice at \[{{0}^{o}}C\] are mixed. The temperature of .the mixture in steady state will be (latent heat of steam\[=540\,\,cal/g\], latent heat of ice \[=80\,\,cal/g)\]:
question_answer30) A tuning fork of frequency \[580\,\,Hz\] is employed to produce transverse waves on a long rope. The distance between the nearest crests is found to be \[20\,\,cm\]. The velocity of the wave is:
question_answer31) A heavy brass sphere is hung from a weightless inelastic spring and as a simple pendulum its time period of oscillation is \[T\]. When the sphere is immersed in a non-viscous liquid of density \[1/10\] that of brass, it will act as a simple pendulum of period:
question_answer32) The distance travelled by a sound wave when a tuning fork completes \[25\] vibrations is\[16.5\,\,m\]. If the frequency of the tuning fork is \[500\,\,Hz\], find the velocity of sound.
question_answer33) Two instruments having stretched strings are being played in unison. When the tension of one of, the instruments is increased by \[1%\], \[3\] beats are produced in \[2\,\,s\]. The initial frequency of vibration of each wire is:
question_answer34) Three point charges \[1C,\,\,\,2C\] and \[3C\] are placed at the comers of an equilateral triangle of side \[1\,\,m\]. The work done in bringing these charges to the vertices of a smaller similar triangle of side\[0.5\,\,m\]is:
question_answer35) The capacitors \[A\] and \[B\] have identical geometry. A material with a dielectric constant \[3\] is present between the plates of \[B\]. The potential difference across \[A\] and \[B\] are respectively:
question_answer36) An electric bulb is marked \[100\,\,W,\,\,230\,\,V\]. If the supply voltage drops to \[115\,\,V\], what is the total energy produced by the bulb in\[10\,\,\min ?\]
question_answer37) A circular coil carrying a current has a radius\[R\]. The ratio of magnetic induction at the centre of the coil and at a distance equal to \[\sqrt{3}R\] from the centre of the coil on the axis is:
question_answer40) Four \[10\,\,\mu F\] capacitors are connected to a \[500\,\,V\] supply as shown in the figure. The equivalent capacitance of the network is :
question_answer41) A resistor is constructed as hollow cylinder of dimensions \[{{r}_{a}}=0.5\,\,cm\] and \[{{r}_{b}}=1.0\,\,cm\] and\[\rho =3.5\times {{10}^{-5}}\Omega m\]. The resistance of the configuration for the length of \[5\,\,cm\] cylinder is \[...\times {{10}^{-3}}\Omega \]:
question_answer43) The figure below shows a \[2.0\,\,V\] potentiometer used for the determination of internal resistance of a \[2.5\,\,V\] cell. The balance point of the cell in the open circuit is \[75\,\,cm\]. When a resistor of \[10\Omega \] is used in the external circuit of the cell, the balance point shifts to \[65\,\,cm\] length of potentiometer wire. The internal resistance of the cell is:
question_answer44) An electric heater boils \[1\,\,kg\] of water in a time\[{{t}_{1}}\]. Another heater boils the same amount of water in a time \[{{t}_{2}}\] When the two heaters are connected in parallel, the time required by them together to boil the same amount of water is:
question_answer45) Two thin metallic strips, carrying current in the direction shown, cross each other perpendicularly without touching but being close to each other, as shown in the figure. The regions which contain some points of zero magnetic induction are:
question_answer46) The force on a conductor of length (placed in a magnetic field of magnitude B and carrying a current \[i\] is given by \[(\theta \] is the angle, the conductor makes with the direction of \[B)\]:
question_answer50) The coefficient of mutual inductance between the primary and secondary of the coil is \[5\,\,H\]. A current of \[10\,\,A\] is cut-off in \[0.5\,\,s\]. The induced emf is:
question_answer54) The van der Waals' equation for a real gas is given by the formula \[\left( P+\frac{{{n}^{2}}a}{{{V}^{2}}} \right)(V-nb)=nRT\] where \[P,\,\,V,\,\,T\] and \[n\] are the pressure, volume, temperature and the number of moles of the gas. Which one is the correct interpretation for the parameter\[a?\]
A)
The parameter a accounts for the finite size of the molecule, not included temperature in the ideal gas law
doneclear
B)
The parameter a accounts for the shape of gas phase molecules
doneclear
C)
The parameter \[a\] accounts for intermolecular interaction?s present in the molecule
doneclear
D)
The parameter \[a\] has no physical significance and van der Waals? introduced it as a numerical correction factor only
question_answer56) The observation that the ground state of nitrogen atom has \[3\] unpaired electrons in its electronic configuration and not otherwise is associated with:
question_answer62) A solution \[\text{of}\]\[4.5\,\,g\] of a pure non-electrolyte in \[100\,\,g\] of water was found to freeze at\[{{0.465}^{o}}C\]. The molecular weight of the solute is closest to\[({{k}_{f}}=1.86)\]:
question_answer63) The enthalpy of vaporization of substance is \[840\,\,J\text{-}mo{{l}^{-1}}\] and its boiling point is\[-{{173}^{o}}C\]. Its entropy of vaporization is:
question_answer64) Given the following thermochemical equations: \[Zn+\frac{1}{2}{{O}_{2}}\xrightarrow{{}}ZnO+84,000\,\,cal\] \[Hg+\frac{1}{2}{{O}_{2}}\xrightarrow{{}}HgO+21,700\,\,cal\] Accordingly the heat of reaction for the following reaction \[Zn+HgO\xrightarrow{{}}Hg+\]heat is:
question_answer66) For the reaction\[{{H}_{2}}(g)+{{I}_{2}}(g)2HI(g)\] the equilibrium constants expressed in terms of concentrations \[{{K}_{c}}\] and in terms of partial pressures\[{{K}_{p}},\]are related as:
question_answer82) Which of the following compounds forms an addition compound with \[C{{H}_{3}}MgBr\], which on hydrolysis produce a secondary alcohol?
question_answer84) Which of the following compounds on treatment first with \[NaN{{O}_{2}}/HCl\] and then coupled with phenol produces p-hydroxyazobenzene?
question_answer86) A certain metal will liberate hydrogen from dilute acids. If will react with water to form hydrogen only when the metal is heated and the water is in the form of steam. The metal is probably:
question_answer90) Consider the following compounds. 1. Sulphur dioxide 2. Hydrogen peroxide 3. Ozone Among these compounds identify those that can act as bleaching agent:
question_answer97) Which set is the correct pairing set (or contains complementary pairs) responsible for the structure of\[DNA?\] (A-adenine, G-guanine, C-cystosine, T-thymine, U-uracil)
question_answer99) The rate of a reaction is doubled for every \[{{10}^{o}}\] rise in temperature. The increase in reaction rate as a result of temperature rise from \[{{10}^{o}}\] to \[{{100}^{o}}\] is:
question_answer104) Let\[f(x)\]be twice differentiable such that\[f'\,\,'(x)=-f(x),\,\,f'(x)=g(x)\], where \[f'(x)\] and\[f'\,\,'(x)\] represent the first and second derivatives of \[f(x)\] respectively. Also if \[h(x)={{[f(x)]}^{2}}+{{[g(x)]}^{2}}\]and \[h(5)=5\], then \[h(10)\] is equal to :
question_answer108) If two circles of the same radius rand centres at \[(2,\,\,3)\] and \[(5,\,\,6)\] respectively cut orthogonally, then the value of \[r\] is:
question_answer120) If the coordinate of the vertices of a triangle\[ABC\]be\[A(-1,\,\,3,\,\,2),\]\[B(2,\,\,3,\,\,5)\]and\[C(3,\,\,5,\,\,-2)\] then \[\angle A\]is equal to:
question_answer121) If\[\overset{\to }{\mathop{\mathbf{a}}}\,+\overset{\to }{\mathop{\mathbf{b}}}\,+\overset{\to }{\mathop{\mathbf{c}}}\,=0\],\[|\overset{\to }{\mathop{\mathbf{a}}}\,|=3,\,\,|\overset{\to }{\mathop{\mathbf{b}}}\,|=5\]and\[|\overset{\to }{\mathop{\mathbf{c}}}\,|\,\,=7\], then the angle between \[\overset{\to }{\mathop{\mathbf{a}}}\,\] and \[\overset{\to }{\mathop{\mathbf{b}}}\,\] is:
question_answer123) The projection of\[\widehat{\mathbf{i}}+3\widehat{\mathbf{j}}+\widehat{\mathbf{k}}\]on\[2\widehat{\mathbf{i}}-3\widehat{\mathbf{j}}+6\widehat{\mathbf{k}}\]is:
question_answer128) Let \[F\] denotes the family of ellipses whose centre is at the origin and major axis is the \[y-\]axis. Then equation of the family \[F\] is:
question_answer132) A bag contains \[5\] white and \[3\] black balls and \[4\] balls are successively drawn out and not replaced. The probability that they are alternately of different colours, is:
question_answer143) If \[\alpha \] and \[\beta \] are the solutions of the quadratic equation \[a{{x}^{2}}+bx+c=0\] such that \[\beta ={{\alpha }^{1/3}}\], then:
question_answer146) Along a road lie an odd number of stones placed at intervals of \[10\,\,m\]. These stones have to be assembled around the middle stone. A person can carry only one stone at a time. A man started the job with one of the end stones by carrying them in succession. In carrying all the stones, the man covered a total distance of\[3\,\,km\]. Then the total number of stones is:
question_answer148) The matrix \[\left[ \begin{matrix} 5 & 10 & 3 \\ -2 & -4 & 6 \\ -1 & -2 & b \\ \end{matrix} \right]\] is a singular matrix, if is equal to:
question_answer149) Let \[N\] be the number of quadratic equations with coefficients from \[\{0,\,\,1,\,\,2,\,\,....,\,\,9\}\] such that zero is a solution of each equation. Then the value of \[N\] is: