Question 1:

A pendulum having a bob of mass m is hanging in a ship sailing along the equator form east to west. When the strip is stationary with respect to water, the tension in the string is T0. The difference between T0 and earth attraction on the bob, is

1) $$\dfrac{mg + m \omega^2 R}{2}$$
2) $$\dfrac{m \omega^2 R}{3}$$
3) $$\dfrac{m \omega^2 R}{2}$$
4) $$m \omega^2 R$$

Question 2:

A net force of 10. newtons accelerates an object at 5.0 meters per second2. What net force would be required to accelerate the same object at 1.0 meter per second2?
 
1)  1.0 N
2)  2.0 N
3)  5.0 N 
4)  50. N

Question 3:

A uniform wire of resistance 12Ω  is bent in the form of a square. A cell of emf 6 V having negligible internal resistance connected across the diagonal of the square. The magnetic induction at its centre is (in T)

1) 0
2) 10^−7?
3) 5×10⁻⁷
4) $$\dfrac{\mu _{0}}{4\pi }\times 5\times 10^{-7}$$

Question 4:

The dimensional formula for latent heat is:

1.M⁰L² T^-2
2.M² L⁰ T^-2
3.M² L^-2 T⁰
4.M⁰ L^-2 T²

Question 5:

A jar is filled with two non-mixing liquids 1 and 2 having densities ρ1 and  ρ2 respectively. A solid ball, made of a material of density ρ3 is dropped in the jar. It comes to equilibrium in the position as shown in the figure. Which of the following is true for ρ1,ρ2 and ρ3 ?

1) ρ1 < ρ2 < ρ3

2) ρ1 < ρ3 < ρ2

3) ρ3 < ρ1 < ρ2

4) ρ1 > ρ3 > ρ2

Question 6:

In a compound microscope, the focal lengths of two lenses are 2.5 cm and 6.25 cm. An object is placed at 2 cm from objective and the final image is formed at 25 cm from eye lens. The distance between the two lenses is:
1.12 cm
2.15 cm
3.18 cm
4.None of the above

Question 7:

A cylinder rolls up an inclined plane at an angle of 30^o. At the bottom of the inclined plane, the center of mass of the cylinder has speed of 5m/s. How long will it take to return to the bottom?

1) 2s    2) 3s        3) 1.5s        4) 4s

Question 8:

In a medium where the velocity of sound is 45 m/s a source of frequency 150Hz will produce waves with a wavelength of
 
 (1) 0.3 m
 (2) 0.5 m
 (3) 3.0 m
 (4) 5.0 m

Question 9:

A bullet of mass 10g moving horizontally with a velocity of 400 ms^–1 strikes a wooden block of mass 2 kg which is suspended by a light inextensible string of length 5 m. As a result, the centre of gravity of the block is found to rise a vertical distance of 10 cm. The speed of the bullet after it emerges out horizontally from the block will be :-
 
1) 120 ms^–1   2) 160 ms^–1   3) 100 ms^–1      4) 80 ms^–1 

Question 10:

In a nuclear reactor:

(1) Ordinary water moderates the activity of the reactor.
(2) The fuel used is natural uranium which is mostly uranium 235.
(3) The chain reaction is kept under control by rods of cadmium, whose going in reduces the reaction rate.
(4) The thick concrete shield is used to slow down the speed of neutrons.

Question 11:

A 110 V, 60 W lamp is run from a 220 V AC mains using a capacitor in series withe the lamp, instead of a resistor then the voltage across the capacitor is about:

1) 110 V

2) 190 V

3) 220 V

4) 311 V

Question 12:

Electric current arises from the flow of charged particles, Now:

(1) In electrolytes, It is mainly due to the flow of negative ions.
(2) In discharge tubes containing gases at low pressure, it is due to the flow of positive ions only
(3) In metals, it is mainly due to the flow of electrons.
(4) In semi-conductors, it is mainly due to the flow of holes.

Question 13:

Electromagnetic radiations described by the equation: $$E = 100 \left[ \sin \left( 2 \times 10 ^ { 15 } \right) t + \sin \left( 6.28 \times 10 ^ { 15 } \right) t \right] V / m$$ are incident on a photosensitive surface having work function $$1.5\ eV$$. The maximum kinetic energy of photoelectrons will be 

1) 0.125 eV
2) 2.625 eV
3) 4.125 eV
4) 6.125 eV

Question 14:

A helicopter rises vertically with a speed of 100 m/s. If helicopter has length 10 m and horizontal component of earth's magnetic field is 5 × 10⁻³Wb/m² then the induced emf between the tip of nose and tail of helicopter is:

1) 50 V
2) 0.5 V
3) 5 V
4) 25 V

Question 15:

 If a wheel is turning at a constant angular velocity of 2p radians/second, how many revolutions does it make in one minute?

1) 60

2) 120p

3) 60p

4) 30

Question 16:

Water falls from a height 500m. The rise in temperature of water at bottom if whole of the energy remains in water, will be ( specific heat of water is 4.2 kJ/kg)

1)0.23°C
2) 1.16°C
3)096°C
4)1.02°C

Question 17:

 A reel of mass less thread rolls itself falling down under gravity. The acceleration of its fall is

(1)     g                             (2)     g/2

(3)     2g/3                         (4)     4g/3

Question 18:

 Ratio of De-Broglie wavelengths of a proton and an alpha particle of the same energy is :

(1) 1 : 4             (2) 4: 1

(3) 1: 2             (4) 2 : 1

Question 19:

 Distance between earth and moon is reduced to half then the time period will be :

(1) nothing can be said         (2) unchanged

(3) decreases                       (4) increases

Question 20:

 A standard cell is balanced at 150 cm. height of a potentiometer wire. If this cell is shunted by a resistance of 2 Ù., the balanced position is obtained at 100 cm. length. The internal resistance of the cell will be :

(1) 2 Ù

(2) 1 Ù

(3) 0.66 Ù

(4) 0.1Ù

Question 21:

 In Young experiment the sodium lamp of wavelength ? = 5898 Å produces 92 fringes in visible region, if the source of light is changed by green light of wavelength 5461 Å the no. of fringes obtained in the visible region will be : 1) 99
2) 85
3) 67
4) 62

Question 22:

 Which quantity remains conserved as external torque is zero :

(1) linear momentum

Question 23:

When a ray of light enters a glass slab from air
1. Its wavelength increase
2. No change in frequency & wavelength
3. Its frequency increases
4. No change in frequency & wavelength

Question 24:

The distance between the slit and biprism and that between biprism and screen are each 50 cm. The obtuse angle of the briprism is 170^o and its refractive index is 1.5. If the fringe width is 0.0135 cm; calculate the wavelength of light in nm

1) 589 nm
2) 5890nm
3) 1890nm
4) 2890nm

Question 25:

 A wire tension 225 N produces 6 beats per second when it tuked with a fork, when the tension changed to 256 N, it again tuned with the same tuning fork to no. of beats remained unchanged, the frequency of tuning fork will be

(1) 186             (2) 280

(3) 225             (4) 256

Question 26:

A container is divided into two equal parts I and II by a partition with a small hole of diameter d. The two partitions are filled with same ideal gas, but held at temperatures TI=150 and TII=300 by connecting to heat reservoirs. Let λI and λII be the mean free paths of the gas particles in the two parts such that d>>λIand d>>λII. Then λI/λII is close to.

1) 0.25
2) 0.5
3) 0.7
4) 1.0

Question 27:

 A block initially at rest is allowed to slide down a frictionless ramp and attains a speed v at the bottom. To achieve a speed of 2v at the bottom, how many times as high must a new ramp be?

1) Ö2

2) 2

3) 4

4) 8

Question 28:

Combination of two identical capacitors, a resistor R and a dc voltage source of voltage 6V is used in an experiment on a (C-R) circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination the time needed for reducing the voltage of the fully charged series combination by half is?

1) 2.5 second

2)  20 second

3) 10 second

4) 5 second

Question 29:

Equal potentials are applied on an iron and a copper wire of same length. In order to have the same current flow in the two wires, the ratio r(iron) / r(copper) of their radii must be: [specific resistance of iron = 1.0 ]

1) 2.4 : 1
2) 1 : 2.4
3) 1.2 : 1
4) 1 : 1.2

Question 30:

When an electron and a position collide:

(1) The mass is not converted into energy
(2) They Repel each other
(3) The total mass is converted into energy
(4) Part of the mass is converted into energy

Question 31:

A parallel-plate vacuum capacitor with plate area A and separation x has charges +Q and −Q on its plates. The capacitor is disconnected from the source of charge, so the charge on each plate remains fixed. The plates are pulled apart an additional distance dx. What is the change in the stored energy?

1) $$\left (\dfrac {Q^2}{2\epsilon_oA}\right )\cdot dx$$

2) $$\left (\dfrac {Q^2}{\epsilon_oA}\right )\cdot dx$$

3) $$\left (\dfrac {2Q^2}{\epsilon_oA}\right )\cdot dx$$

4) $$\left (\dfrac {Q^2}{4\epsilon_oA}\right )\cdot dx$$

Question 32:

Four resistances of 100 ohm each are connected in the form of a square. Then the effective resistance along the diagonal points is:

(1) 150 ohms
(2) 100 ohms
(3) 400 ohms
(4) 200 ohms

Question 33:

A reference frame attached to the Earth
 
 1) is an inertial frame by definition.
 2) is an inertial frame because Newton's laws of motion are applicable inside it.
 3) is not an inertial frame because the Earth moves with respect to the Sun.
 4) cannot be an inertial frame of reference because of the Earth's rotation and revolution.

Question 34:

Two points P and Q perform SHM along the same straight line, greatest distance between P and Q noticed by an observer studying the motion is found to be A (A=amplitude). Hence, we can deduce that in this case P leads Q ( or Q leads P) by a phase angle of

1) $$\pi$$
2) $$\dfrac { 2\pi }{ 3 }$$
3) $$\dfrac { \pi }{ 2 }$$
4) $$\dfrac { \pi }{ 3 }$$

Question 35:

 A lens has focal length +10 cm. An object is placed at a distance 20 cm to the left of the lens. The image is

1) real and 20 cm right of the lens

2) virtual and 20 cm left of the lens

3) real and 10 cm right of the lens 

4) virtual and 10 cm left of the lens

Question 36:

A rigid uniform rod of mass M and length L is resting on a smooth horizontal table. Two marbles each of mass ‘m’ and traveling with uniform speed ‘V’ collide with two ends of the rod simultaneously and inelastically as shown. The marbles get struck to the rod after the collision and continue to move with the rod. If m=M/6 and V=L  mts/sec, then the time taken by the rod rotate through π / 2 is  

1)  1 sec 
2) 2π sec
3) π sec
4) π /2 sec 

Question 37:

 In the definition of 'calorie', the heat required to raise the temperature of 1 gram of water through 1°C in the range of temperature and pressure.

(1) 3.5 to 4.5°C, 76mm of Hg
(2) 13.5 to 14.5°C 76mm of Hg
(3) 14.5 to 15.5°C 760mm of Hg
(4) 98.5 to 99.5°C 760mm of Hg

Question 38:

If in an experiment for determination of velocity of sound by resonance tube method using a tuning fork of 512 Hz, first resonance was observed at 30.7 cm and second was obtained at 63.2 cm., then maximum possible error in velocity of sound is

(1) 204.8 cm/sec
(2) 102.4 cm/sec
(3) 80 cm/sec.
(4) 161.3 cm/sec.

Question 39:

A block of mass 10 kg, moving in x direction with a constant speed of 10ms^-1, is subjected to a retarding force F = 0.1 x J/m during its travel from x = 20 m to 30 m. Its final KE will be : 

1) 250 J   2) 475 J   3) 450 J   4) 275 J 

Question 40:

The value of inductance in henry, of conductor to be connected in series with capacitor of 5μF and a resistor of 10Ω and then its ICR combination across the ac mains in India such that the power factor of the circuit is unity is :(take n²<10)

1) 2 H
2) 0.4 H
3) 4 H
4) 0.2 H

Question 41:

A certain color of light towards the purple end of the visible spectrum has a wavelength of 420 nm in a vacuum.
What is the frequency of this light?
The speed of light in a vacuum is 3.00×10⁸m/s

1) 126Hz
2) 7.1×10¹⁴Hz
3) 1.26×10¹¹Hz
4) 1.4×10⁻¹⁵Hz

Question 42:

 An electron of 10 eV kinetic energy will travel the distance through an electric field 0.25 N/C :

(1) 2.5 m
(2) 20 m
(3) 4 m
(4) 40 m

Question 43:

The magnetic field due to a current carrying wire element will be maximum when the angle between the current element and position vector is :

(1) p/2
(2) p/4
(3) p
(4) zero

Question 44:

A uniform wire of length l and mass m is bent in the form of a rectangle ABCD with AB=2BC . The moment inertia of this frame about BC is :

1) $$ \dfrac {11}{252} ml^2 $$
2) $$ \dfrac {8}{203} ml^2 $$
3) $$ \dfrac {5}{136} ml^2 $$
4) $$ \dfrac {7}{162} ml^2 $$

Question 45:

The electricity tariff in a town is Rs.3.00 per unit. Calculate the cost of running an 80W fan for 10h a day for the month of June.

1) Rs.12.00
2) Rs.52.00
3) Rs.72.00
4) Rs.92.00