Question 1:

The temperature of 100 g of water is to be raised from 24° C to 90° C by adding steam to it. Calculate the mass of the steam required for this purpose (latent heat of steam = 540 k Cal/kg)
1.10 g
2. 11 g
3. 12 g
4. 15 g

Question 2:

Bernoulli’s theorem is applicable to
1. Viscosity of fluids
2. Surface tension
3. Flow of liquids
4. Static fluid pressure

Question 3:

A cube of wood supporting a 400 g mass just floats in water. When the mass is removed, the cube rises by 2 cm. The side of the cube is:
1. 10 cm
2. 40 cm
3.20 cm
4.4 cm

Question 4:

A sphere of radius 10 cm and mass 25 kg is attached to the lower end of a steel wire, which is suspended from the ceiling of a room. The point of support is 521 cm above the floor. When the sphere is set swinging as a simple pendulum, its lowest point just grazes the floor. The velocity of the ball at its lowest point, given y = 2 X 10¹² dynes/cm², unstretched length of wire = 500 cm & radius of wire = 0.05 cm is:

1. 260
2.275
3.375
4. 390

Question 5:

A mass M is attached to a spring, which oscillates with a period of 2s. If the mass is increased by 2 kg, the period increases by 1s. The initial mass M, assuming that Hooke\'s law is obeyed, would be:
1. 0.8 kg
2.1.6 kg
3.2 kg
4.2.4 kg

Question 6:

In Rutherford scattering experiment, the correct angle of scattering of alpha particles for impact parameter equal to zero is:
1. 0°
2. 90°
3. 180°
4. 270°

Question 7:

The dimension of resistivity are:
1. ML² T^-1 Q^-1
2.ML³ T Q^-2
3. ML³ T^-1 Q^-2
4.ML³ TQ^-1

Question 8:

If we double the radius of a coil keeping the current through it unchanged, then the magnetic field at any point at a large distance from the center becomes approximately,
1. Half
2. Same
3. Double
4. Four - times

Question 9:

The power of a sound from the speaker of a radio is 20 mW. By turning the knob of the volume control, the power of the sound is increased to 400 mW. The power increase in decibels as compared to the original power is

(1)     13.0 dB                          (2)     10 dB

(3)     20 dB                             (4)     8000 dB

Question 10:

The maximum speed at which a car can turn around a curve of 30 m radius on a level road if the coefficient of friction between the tyres and the road being 0.4 is:
1. 10.84 m/s
2.11.32 m/s
3. 10.26 m/s
4.9.86 m/s

Question 11:

A block of mass 1 kg moving with a speed of 4 m/s, collides with another block of mass 2 kg which is at rest. The lighter block comes to rest after collision. The loss in the kinetic energy of the system is:
1.8 J
2. 4 J
3. 6 J
4. 10 J

Question 12:

A 800 kg car can accelerate from rest to a speed of 30 m/s in 10s. Neglecting friction loss, the average power of the engine of the car required is:
1. 42 kw
2. 36 kw
3.32 kw
4. 30 kw

Question 13:

Block of mass 4 kg rests on a rough inclined plane making an angle of 30 with the horizontal. The coefficient of static friction between the block and the plane is 0.7. The friction force on the block is:
1. 9.8 N
2. 13.5 N
3. 16.8 N
4.19.6 N

Question 14:

A thin circular sing of area A is held perpendicular to a uniform magnetic field of induction B. A small cut is made in the ring and a galvanometer is connected across the ends such that the total resistance of the circuit is R. When the ring is suddenly squeezed to zero area, the charge flowing through the galvanometer is:

1) ABR

 2) AB/R

 3 )AB . Dt/R

 4) AB/Dt . R

Question 15:

A phenomenon of super conductivity has been observed at 95 K. This temperature is nearly equal to:
1.178°C
2. - 288°F
3. - 146°C
4. - 288°C

Question 16:

A weighted glass tube is floating in a liquid with 19.6 cm of its length immersed. It is pushed down a certain distance and then released. The time period of vibration is:
1. 2p/7 s
2.p/3 s
3. 2p/5 s
4. 2p s

Question 17:

A shot leaves a gun at the rate of 200 m/s. The greatest distance to which it could be projected is:
1. 200 m
2. 1000 m
3. 2000 m
4. 4000 m

Question 18:

The number of photons emitted per second by a 25 W source of monochromatic light of wavelength 6000 A° is:
1. 6.23 X 10¹⁹
2. 6.86 X 10¹⁷
3.7.54 X 10¹⁹
4. 7.23 X 10¹⁸

Question 19:

Dimensional formula of Stefan-Boltzmann's constant is ... . Take dimension of temperature as J
1) M¹L²T^-1K⁴
2) M¹L0T^-3K^-4
3) M¹L²T^-2K⁴
4) M¹L²T^-3K⁴

Question 20:

An elastic spring doubles its unstretched length to 16cm without exceeding its elastic limit when a force of 28N is applied to it. When a force of 7N is applied, the length of the spring is
 
 (1) 2 cm
 (2) 4 cm
 (3) 7 cm
 (4) 8 cm

Question 21:

Below the surface of a liquid the pressure acting in the liquid
 
 (1) Decreases as the depth increases
 (2) Increases as the depth increases
 (3) Is independent of the depth
 (4) Is the same for all liquids at a particular depth

Question 22:

A cube is in equilibrium on an inclined plane forming an angle of 30⁰ with the horizontal. If the distance of line of action of the normal reaction of the plane on the cube from the centre is a / 2√x. Find x

1) 4
2) 8
3) 3
4) 2

Question 23:

A mass is whirled in a circular path with a constant angular velocity and its angular momentum is L. If the length of string is now halved keeping the angular velocity the same, the new angular momentum is:

1) L /4
2) L /2
3) L
4) 2L

Question 24:

Which of the following expressions for the total energy of an oscillating mass on a spring is not equivalent to the others?

1) ½ kA²

2) ½ mv_max²

3) ½ I w²

4) ½ kx² + ½ mv²

Question 25:

 The point of suspension of l simple pendulum with normal time period T1 is moving upward according to equation y = Kt² where k = 1m/s². If new time period is T2  the ratio T₁² /T²₂ will be :

1) 2/3 
2) 5/6
3)  6/5
4) 3/2

Question 26:

A mass of M kg is suspended by a weightless string. The horizontal force that is required to displace it until the string makes an angle of 45° with the initial vertical direction is 

1) Mg(√2 + 1) 
2) Mg √2
3) Mg/√2  
4) Mg(√2 – 1)
 

Question 27:

A block of mass m is connected to another block of mass M by a spring (massless) of spring constant k. The block are kept on a smooth horizontal plane. Initially the blocks are at rest and the spring is unstretched. Then a constant force F starts acting on the block of mass M to pull it. Find the force of the block of mass m.

1) MF /(m + M) 
2) mF / M
3) (M+m )F / m 
4) mF /(m + M)

Question 28:

A temporary magnet should be made from
 
 (1) Copper
 (2) Steel
 (3) Tin
 (4) Aluminum

Question 29:

 The magnetic force experienced charge q in magnetic field moving with velocity V, will be maximum when the angle between V and B is :

(1) 0⁰            
(2) 45⁰          
(3) 90⁰
(4) 180⁰

Question 30:

A Projectile is given an initial velocity of ( i+2j) m/s, + where i is along the ground and j is along the vertical. If g = 10 m/s², the equation of its trajectory is
1) y = x − 5x² (2) (3) (4)
2) y = 2x − 5x²
3) 4y = 2x − 5x²
4) 4y = 2x − 25x²

Question 31:

An object is projected up wards with velocity of 100 m/sec. it will strike the ground in approximately ( g=10 m/sec2)
1) 10 sec
2) 5 sec
3) 15 sec
4) 20 sec

Question 32:

If the degrees of freedom of a gas are f, the ratio of its two specific heats, C_P/C_V, is given by:

1) 1 - (1/f)
2) 1 – (2/f)
3) 1 + (1/f)
4) 1 + (2/f)

Question 33:

In a mixture of ideal gases, the molecules have the same:

(1) Mean translational kinetic energy
(2) Root mean square momentum
(3) Speed
(4) Mean speed.

Question 34:

A small ball of mass m carrying a charge of Q is dropped in a uniform horizontal magnetic field B . Depth of deepest point of its path from point release is h. choose the correct  option:

1) Speed at deepest point is $$\sqrt { 2gh } $$
2) Speed at deepest point is $$\frac { QBh }{ m } $$
3) Speed at deepest point is $$\frac { 2mg }{ QB} $$
4) Speed at deepest point is $$\frac { 2QBh }{ m} $$

Question 35:

A point charge $$q$$ is placed at a point on the axis of a non-conducting circular plate of radius r at a distance $$R ( >> r)$$ from its center. The electric flux associated with the plate is

1) $$\dfrac { q{ r }^{ 2 } }{ 4\pi { \varepsilon  }_{ 0 }{ R }^{ 2 } } $$
2) $$\dfrac { q{ r }^{ 2 } }{ 4{ \varepsilon  }_{ 0 }{ R }^{ 2 } } $$
3) $$\dfrac { q{ r }^{ 2 } }{ 4{ \varepsilon  }_{ 0 }{ r }^{ 2 } } $$
4) $$\dfrac { q }{ 4{ \varepsilon  }_{ 0 }} $$

Question 36:

A satellite orbits at a height h above the Earth's surface. Let R be the Earth's radius. If Ve is the escape velocity and Vo is the orbital velocity of the satellite orbiting at a height h << R, then

1) Vo² = 2 Ve²
2) Ve² = 2 Vo²
3) Ve = 2 Vo
4) Ve = Vo

Question 37:

An object weighing 15 newtons is lifted from the ground to a height of 0.22 meter. The increase in the object’s gravitational potential energy is approximately
 
 1) 310 J
 2) 32 J
 3) 3.3 J
 4) 0.34 J

Question 38:

The electric field of an electromagnetic wave travelling through vacuum is given by the equation E = E−0 sin (Kx - ωt). the quantity that is independent of wavelength is

1) kω
2) $$\dfrac{K}{\omega}$$
3) $$K^2\omega$$
4) $$\omega$$

Question 39:

 Work function for a surface is equal to :

(1) Φ = fermi energy – binding energy

(2) Φ =fremi energy

(3) Φ = binding energy – fermi energy

(4) Φ = binding energy

Question 40:

In a photoelectric experiment, the stopping potential Vs is plotted against the frequency vof incident light. The resulting curve is a straight line which makes an angle θ which is equal to (φ= work function of surface)

1) $$h/e$$
2) $$e/h$$
3) $$-\dfrac{\varphi}{3}$$
4) $$\dfrac{eh}{\varphi}$$

Question 41:

Work function of a metal is 3.0 eV. It is illuminated by a light of wavelength 3×10⁻⁷ m. Then the maximum energy of the electron is.

1) 2.34 eV
2) 0.85 eV
3) 1.13 eV
4) 3.32 eV

Question 42:

A solenoid has an inductance L. A second solenoid is identical to the first except that it is twice as large; it is magnified by a factor of two. What is the ratio of the inductance of the magnitude inductor to the original inductor?

1) 4
2) 2
3) 1
4) 1/2

Question 43:

The rest mass of a photon is:

(1) Dependant on velocity
(2) Zero
(3) Very large
(4) Very small

Question 44:

A parallel plate capacitor with air between the plates has capacitance of $$9 pF$$. The separation between its plates is '$$d$$'. The space between the plates is now filled with two dielectrics. One of the dielectrics has dielectric constant $$k_1=3$$ and thickness $$\dfrac {d}{3}$$ while the other one has dielectric constant $$k_2=6$$ and thickness $$\dfrac {2d}{3}$$. Capacitance of the capacitor is now :

1) 1.8 pF

2) 45 pF

3) 40.5 pF

4) 20.25 pF

Question 45:

 The electirc field strength at a distance rr from the centre of a charged sphere of radius r is E. If r > R, how much work will be done in bringing a test charge q₀ from infinity to that point, is

(1) q₀RE  
(2) 1/2 q₀RE        
(3) q₀ r E       
(4) 1/2 q₀ r E