question_answer2) A copper solid cube of 60 mm side is subjected to a pressure of \[2.5\times {{10}^{7}}Pa.\] If the bulk modulus of copper is \[1.25\times {{10}^{7}}N/{{m}^{2}},\] the change in the volume of cube is:
question_answer3) The coefficient of real expansion of mercury is \[18\times {{10}^{-5}}/{}^\circ C.\] The thermometer bulb has a volume of \[{{10}^{-6}}{{m}^{3}}\] and the cross-section of the stem is \[0.002\text{ }c{{m}^{2}}.\] Assuming that the bulb is filled with mercury at \[0{}^\circ C\] the length of the mercury column at \[100{}^\circ C\] will be:
question_answer4) A clock with an iron pendulum keeps correct time at \[15{}^\circ C\]. If the room temperature rises to \[20{}^\circ C\], the error in seconds per day will be : (coefficient of linear expansion of iron is \[0.000012/{}^\circ C\])
question_answer5) A gas at temperature \[27{}^\circ C\] and pressure 30 atm. is allowed to expand to 1 atm pressure. If the volume becomes 10 times its initial volume, the final temperature becomes:
question_answer7) 30 g of water at \[300{}^\circ C\] is in a beaker. Which of the following, when added to water, will have greatest cooling effect? (Specific heat of copper \[=\text{ }0.1\text{ }cal/\text{ }g{}^\circ \text{ }C\])
question_answer8) Two cylindrical conductors A and B of same metallic material have their diameters in the ratio 1:2 and lengths in the ratio 2:1. If the temperature difference between their ends is same, the ratio of heats conducted respectively by A and B per second is:
question_answer9) An organ pipe \[{{P}_{1}}\] closed at one and vibrating in its first overtone and another pipe \[{{P}_{2}}\], open at both ends vibrating in its third overtone are in resonance with a given tuning fork. Then the ratio of lengths of \[{{P}_{1}}\] and \[{{P}_{2}}\], respectively are given by:
question_answer10) A source and an observer move away from each other, each with a velocity of 10 m/s, with respect to ground. If the observer finds the frequency of sound coming from the source as 1950 Hz, the original frequency of the source is : (assume, velocity of sound in air = 340 m/s)
question_answer11) A force \[F\to =3\widehat{i}+c\widehat{j}+2\widehat{k}\] acting on a particle causes a displacement \[s\to =-\,4\widehat{i}+2\widehat{j}+2\widehat{k}\] its own direction. If the work done is 6 J, the value of c is:
question_answer13) The reaction time for a car driver is 0.9 s. If the car travelling initially with 36 km/h is stopped by the driver after observing a signal by the deceleration of \[5\text{ }m/{{s}^{2}},\] the total distance travelled by the car before coming to rest is:
question_answer14) A particle is moving eastwards with a velocity of 15 m/s. In a time of 10 s. the velocity changes to 15 m/s northwards. Average acceleration during this time is, in \[m/{{s}^{2}}:\]
question_answer15) The weight of a man in a lift, moving upwards is 608 N while the weight of the same man in the lift moving downwards, with the same acceleration, is 368 N. His normal weight in newton is:
question_answer16) A mass of 12 kg at rest explodes into two pieces of masses 4 kg and 8 kg, which move in opposite directions. If the velocity of 8 kg piece is 6 m/s. then the kinetic energy of the other piece in joule is:
question_answer17) A body of mass 10 kg lies on a rough horizontal surface. When a horizontal force of F newton acts on it. it gets an acceleration of \[5\text{ }m/{{s}^{2}}\]and when the horizontal force is doubled, it gets an acceleration of 18 m/s2. Then the coefficient of friction between the body and the horizontal surface is: (assume\[g=10\text{ }m{{s}^{-2}}\])
question_answer18) A constant torque of 1000 N-m turns a wheel of moment of inertia \[200\text{ }kg-{{m}^{2}}\]about an axis through its centre. Its angular velocity after 3 second is, in rad/s:
question_answer19) A thin metal disc of radius 0.25 m and mass 2 kg starts from rest and rolls down an inclined plane. If its rotational kinetic energy is 4 J at the foot of the inclined plane, then its linear velocity at the same point is:
question_answer20) The mass of a planet is 1/9 of the mass of the earth and its radius is half that of the earth. If a body weights 9 N on the earth, its weight on the planet would be:
question_answer23) A barmagnet of pole strength 2 A-m is kept in a magnetic field of induction \[4\times {{10}^{-5}}Wb/{{m}^{2}}\]such that the axis of the magnet makes an angle 30° with the direction of the field. The couple acting on the magnet is found to be \[80\times {{10}^{-7}}Mm.\]Then. the distance between the poles of the magnet is:
question_answer24) In a deflection magnetometer experiment in tan A position, a short bar magnet placed at 18 cm from the centre of the compass needle produces a deflection of \[30{}^\circ \]. If another magnet of same length but 16 times pole strength as that of first magnet is placed in tan B position at 36 cm. the deflection will be:
question_answer25) A charge q is placed at the centre of the line joining two equal charges Q to establish equilibrium. The system of three charges will be in equilibrium if q is equal to:
question_answer26) The capacity of a parallel plate capacitor with no dielectric but with a separation 0.4 cm is 2 \[\mu \]F. The separation is reduced to half and it is filled with a dielectric of value 2.8. The final capacity of the capacitor is:
question_answer27) Two parallel wires of length 9 m each, are separated by a distance of 0.15 m. If they carry equal currents in the same direction and exert a total force of \[3.0\times {{10}^{-7}}N\]of each other, the value of the current must be:
question_answer28) The emf of a Daniel cell is 1.08 V. When the terminals of the cells are connected to a resistance of 3\[\Omega \], the potential difference across the terminals is found to be 0.6 V. Then the internal resistance of the cell is:
question_answer29) A sensitive galvanometer like a moving coil galvanometer can be converted into an ammeter or into a voltmeter by connecting a proper resistance to it. Then which of the following statements is not true?
A)
An ammeter is connected in series in a circuit and the potential difference across it is small
doneclear
B)
An ammeter is connected in series in a circuit and the current through it is negligible
doneclear
C)
A voltmeter is connected in parallel in a circuit and the current through it is negligible
doneclear
D)
A voltmeter is connected in parallel in a circuit and the potential difference across it is maximum
question_answer30) When the electron in hydrogen atom is excited from the 4th stationary orbit to the 5th stationary orbit, the change in the angular momentum of the electron in J-s is: (Planks constant\[h=6.64\times {{10}^{-34}}J-s\])
question_answer31) An electron beam is allowed to pass normally through magnetic and electric fields which are mutually perpendicular. When the magnetic field induction and electric field strength are \[0.0004\text{ }Wb/{{m}^{2}}\]and 3000 V/m respectively, the beam suffers no deflection. Then the velocity of electron is:
question_answer32) When a slow neutron is captured by U235 nucleus, each fission releases an energy of 200 MeV. The number of fissions required to occur (per second) to produce a power of 1 MW is:
question_answer38) The \[\text{ }\!\!\Delta\!\!\text{ H}\] value for the reaction \[{{\text{H}}_{\text{2}}}\text{+}\,\text{C}{{\text{l}}_{\text{2}}}\text{= 2HCl}\,\]is \[-\,44.12\,kcal.\]If \[{{\text{E}}_{\text{1}}}\]is the activation energy of the reactants and \[{{\text{E}}_{2}}\] is the activation energy of the products, then for the above reaction :
A)
\[{{E}_{1}}>{{E}_{2}}\]
doneclear
B)
\[{{E}_{1}}<{{E}_{2}}\]
doneclear
C)
\[{{E}_{1}}={{E}_{2}}\]
doneclear
D)
\[\Delta H\] is not related of \[{{E}_{1}}>{{E}_{2}}\]
question_answer39) The value of \[{{\text{K}}_{\text{p}}}\] for the reaction \[2{{H}_{2}}S(g)\rightleftharpoons 2{{H}_{2}}(g)+{{S}_{2}}(g)\]is \[1.2\times {{10}^{-2}}\]at \[\text{1065}{{\,}^{\text{o}}}\text{C}\text{.}\]The value of \[{{\text{K}}_{\text{c}}}\]for this reaction is:
question_answer44) In the electrochemical cell: \[{{H}_{2}}(g)1\,\text{atm}\text{. 1}{{\text{H}}^{+}}(1M)||C{{u}^{2+}}(1M)Cu(s)\]Which one of the following statements is true?
A)
\[{{\text{H}}_{\text{2}}}\]is cathode, Cu is anode
doneclear
B)
Oxidation occurs at Cu electrode
doneclear
C)
Reduction occurs at \[{{\text{H}}_{\text{2}}}\] electrode
doneclear
D)
\[{{\text{H}}_{\text{2}}}\] is anode, Cu is cathode
question_answer45) On passing a current through a \[\text{KCl}\]solution, 19.5 g of potassium is deposited. If the same quantity of electricity is passed through a solution of aluminium chloride, the amount of aluminium deposited is :
question_answer67) The alcohol that produces turbidity immediately with \[\text{ZnC}{{\text{l}}_{\text{2}}}\text{/conc}\text{.}\] \[\text{HCl}\] at room temperature:
question_answer69) The number of Ti-bonds in the product formed by passing acetylene through dil. \[{{\text{H}}_{\text{2}}}\text{S}{{\text{O}}_{\text{4}}}\] containing mercuric sulphate is :
question_answer70) In the complete combustion of butanol \[{{\text{C}}_{\text{4}}}{{\text{H}}_{\text{9}}}\text{OH(I)}\] if \[\text{ }\!\!\Delta\!\!\text{ H}\] is enthalpy of combustion and \[\text{ }\!\!\Delta\!\!\text{ E}\] is the heat of combustion at constant volume, then:
A)
\[\Delta H <\Delta E\]
doneclear
B)
\[\Delta H =\Delta E\]
doneclear
C)
\[\Delta H >\Delta E\]
doneclear
D)
\[\Delta H ,\Delta E\] relation cannot to be predicted
question_answer84) In Pheritima, there are red coloured round bodies in the 4th, 5th, and 6th segments above the alimentary canal. They are believed to be involved in:
question_answer111) In a population of a species, in some plants the style is shorter, but in some others it is longer than the stamens. This conditions is called :
question_answer130) The first meiotic division in the following stage each chromosome undergoes longitudinal division to give rise to two sister chromatids: