Test: BITSAT Past Year Paper- 2010

Question 1

If P represents radiation pressure, c represents speed of light and Q represents radiation energy striking a unit area per second, the non-zero integers x, y and z such that P^xQ^yc^z is dimensionless, are.

Accepted Answer

x = 1, y = –1, z = 1

Answer

x = 1, y = 1, z = –1

Answer

x = – 1, y = 1, z = 1

Answer

x = 1, y = 1, z = 1

Question 2

The position x of a particle varies with time (t) as x = A t² – B t³. The acceleration at time t of the particle will be equal to zero. What is the value of t?

Accepted Answer

Answer

Answer

Answer

zero

Question 3

Two projectiles A and B are thrown with the same speed but angles are 40º and 50º with the horizontal. Then

Accepted Answer

A will fall earlier

Answer

B will fall earlier

Answer

both will fall at the same time

Answer

None of these

Question 4

A body is travelling in a circle at a constant speed. It

Accepted Answer

has an inward radial acceleration

Answer

has a constant velocity

Answer

is not accelerated

Answer

has an outward radial acceleration

Question 5

Two blocks are connected over a massless pulley as shown in fig. The mass of block A is 10 kg and the coefficient of kinetic friction is 0.2. Block A slides down the incline at constant speed. The mass of block B in kg is:

Accepted Answer

3.3

Answer

3.5

Answer

3.0

Answer

2.5

Question 6

A spring is compressed between two toy carts of mass m₁ and m₂. When the toy carts are released, the springs exert equal and opposite average forces for the same time on each toy cart. If v₁ and v₂ are the velocities of the toy carts and there is no friction between the toy carts and the ground, then :

Accepted Answer

v₁/v₂ = –m₂/m₁

Answer

v₁/v₂ = m₁/m₂

Answer

v₁/v₂ = m₂/m₁

Answer

v₁/v₂ = –m₁/m₂

Question 7

The potential energy for a force field is given by U (x, y) = cos (x + y). The force acting on a particle at position given by coordinates (0, π/4) is –

Accepted Answer

Answer

Answer

Answer

Question 8

A long string is stretched by 2 cm and the potential energy is V. If the spring is stretched by 10 cm, its potential energy will be

Accepted Answer

25 V

Answer

V / 25

Answer

V/5

Answer

5 V

Question 9

The ratio of the accelerations for a solid sphere (mass ‘m’ and radius ‘R’) rolling down an incline of angle ‘θ’ without slipping and slipping down the incline without rolling is:

Accepted Answer

5 : 7

Answer

2 : 3

Answer

2 : 5

Answer

7 : 5

Question 10

A system consists of three particles, each of mass m and located at (1, 1), (2, 2) and (3, 3). The co-ordinates of the centre of mass are

Accepted Answer

(2, 2)

Answer

(1, 1)

Answer

(3, 3)

Answer

(6, 6)

Question 11

Suppose the gravitational force varies inversely as the nth power of distance. Then the time period of a planet in circular orbit of radius ‘R’ around the sun will be proportional to

Accepted Answer

Answer

Rn

Answer

Answer

Question 12

Two planets A and B have the same material density. If the radius of A is twice that of B, then the ratio of the escape velocity v_A/v_B is

Accepted Answer

2

Answer

&radic;2

Answer

1/&radic;2

Answer

1/2

Question 13

The upper end of a wire of diameter 12mm and length 1m is clamped and its other end is twisted through an angle of 30°. The angle of shear is

Accepted Answer

0.18&deg;

Answer

18&deg;

Answer

36&deg;

Answer

0.36&deg;

Question 14

A spherical ball is dropped in a long column of a viscous liquid. The speed (v) of the ball as a function of time (t) may be best represented by

Accepted Answer

Answer

Answer

Answer

Question 15

Two mercury drops (each of radius r) merge to form a bigger drop. The surface energy of the bigger drop, if T is the surface tension, is

Accepted Answer

2^8/3 πr²T

Answer

2^5/3 πr²T

Answer

4 &pi;r2T

Answer

2 &pi;r2T

Question 16

Two circular plates of radius 5 cm each, have a 0.01 mm thick water film between them. Then what will be the force required to separate these plate (S.T. of water = 73 dyne/cm) ?

Accepted Answer

115 N

Answer

125 N

Answer

95 N

Answer

105 N

Question 17

One kilogram of ice at 0°C is mixed with one kilogram of water at 80°C. The final temperature of the mixture is (Take specific heat of water = 4200 kJ/kg-°C, Latent heat of ice = 336 kJ/kg)

Accepted Answer

0&deg;C

Answer

40&deg;C

Answer

50&deg;C

Answer

60&deg;C

Question 18

In the equation PV^γ = constant, the value of γ is unity. Then the process is

Accepted Answer

isothermal

Answer

adiabatic

Answer

isobaric

Answer

irreversible

Question 19

An ideal refrigerator has a freezer at a temperature of 13ºC. The coefficient of performance of the engine is 5. The temperature of the air (to which heat is rejected) is

Accepted Answer

39&ordm;C

Answer

320&ordm;C

Answer

325 K

Answer

325&ordm;C

Question 20

3 moles of an ideal gas at a temperature of 27°C are mixed with 2 moles of an ideal gas at a temperature 227°C, determine the equilibrium temperature of the mixture, assuming no loss of energy.

Accepted Answer

107&deg;C

Answer

327&deg;C

Answer

318&deg;C

Answer

410&deg;C

Question 21

A simple pendulum has time period 't'. Its time period in a lift which is moving upwards with acceleration 3 ms^–2 is

Accepted Answer

Answer

Answer

Answer

Question 22

A wave y = a sin (ωt – kx) on a string meets with another wave producing a node at x = 0. Then the equation of the unknown wave is

Accepted Answer

y = –a sin (ωt + kx)

Answer

y = a sin (ωt + kx)

Answer

y = a sin (ωt – kx)

Answer

y = –a sin (ωt – kx)

Question 23

A source of sound produces waves of wavelength 60 cm when it is stationary. If the speed of sound in air is 320 m s^-1 and source moves with speed 20 m s^-1, the wavelength of sound in the forward direction will be nearest to

Accepted Answer

56 cm

Answer

60 cm

Answer

64 cm

Answer

68 cm

Question 24

A charge +q is at a distance L/2 above a square of side L. Then what is the flux linked with the surface?

Accepted Answer

Answer

Answer

Answer

Question 25

Two metallic spheres of radii 1 cm and 3 cm are given charges of -1 × 10^-2 C and 5 × 10^-2C, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is

Accepted Answer

3 × 10^–2 C

Answer

2 × 10^–2 C

Answer

4 × 10^–2 C

Answer

1 × 10^–2 C

Question 26

In a region, the potential is represented by V(x, y, z) = 6x - 8xy - 8y + 6yz, where V is in volts and x, y, z are in metres. The electric force experienced by a charge of 2 coulomb situated at point (1, 1, 1) is :

Accepted Answer

4&radic;35 N

Answer

6&radic;5 N

Answer

30 N

Answer

24 N

Question 27

The power dissipated in the circuit shown in the figure is 30 Watts. The value of R is

Accepted Answer

10 &Omega;

Answer

20 &Omega;

Answer

15 &Omega;

Answer

30 &Omega;

Question 28

Which of the following quantities do not change when a resistor connected to a battery is heated due to the current?

Accepted Answer

Number of free electrons

Answer

Drift speed

Answer

Resistivity

Answer

Resistance

Question 29

The magnetic field at the origin due to the current flowing in the wire is –

Accepted Answer

Answer

Answer

Answer

Question 30

The back emf induced in a coil, when current changes from 1 ampere to zero in one milli-second, is 4 volts, the self inductance of the coil is

Accepted Answer

4 × 10^–3 henry

Answer

1 henry

Answer

4 henry

Answer

10^–3 henry

BITSAT Past Year Paper- 2010 with solutions - Free MCQ Test Attempt JEE

MCQ Practice Test & Solutions: Test: BITSAT Past Year Paper- 2010 (150 Questions)

If P represents radiation pressure, c represents speed of light and Q represents radiation energy striking a unit area per second, the non-zero integers x, y and z such that P^xQ^yc^z is dimensionless, are.

The position x of a particle varies with time (t) as x = A t² – B t³. The acceleration at time t of the particle will be equal to zero. What is the value of t?

Two projectiles A and B are thrown with the same speed but angles are 40º and 50º with the horizontal. Then

A body is travelling in a circle at a constant speed. It

Two blocks are connected over a massless pulley as shown in fig. The mass of block A is 10 kg and the coefficient of kinetic friction is 0.2. Block A slides down the incline at constant speed. The mass of block B in kg is:

The potential energy for a force field is given by U (x, y) = cos (x + y). The force acting on a particle at position given by coordinates (0, π/4) is –

A long string is stretched by 2 cm and the potential energy is V. If the spring is stretched by 10 cm, its potential energy will be

The ratio of the accelerations for a solid sphere (mass ‘m’ and radius ‘R’) rolling down an incline of angle ‘θ’ without slipping and slipping down the incline without rolling is:

A system consists of three particles, each of mass m and located at (1, 1), (2, 2) and (3, 3). The co-ordinates of the centre of mass are

Suppose the gravitational force varies inversely as the nth power of distance. Then the time period of a planet in circular orbit of radius ‘R’ around the sun will be proportional to

Two planets A and B have the same material density. If the radius of A is twice that of B, then the ratio of the escape velocity v_A/v_B is

The upper end of a wire of diameter 12mm and length 1m is clamped and its other end is twisted through an angle of 30°. The angle of shear is

A spherical ball is dropped in a long column of a viscous liquid. The speed (v) of the ball as a function of time (t) may be best represented by

Two mercury drops (each of radius r) merge to form a bigger drop. The surface energy of the bigger drop, if T is the surface tension, is

Two circular plates of radius 5 cm each, have a 0.01 mm thick water film between them. Then what will be the force required to separate these plate (S.T. of water = 73 dyne/cm) ?

One kilogram of ice at 0°C is mixed with one kilogram of water at 80°C. The final temperature of the mixture is (Take specific heat of water = 4200 kJ/kg-°C, Latent heat of ice = 336 kJ/kg)

In the equation PV^γ = constant, the value of γ is unity. Then the process is

An ideal refrigerator has a freezer at a temperature of 13ºC. The coefficient of performance of the engine is 5. The temperature of the air (to which heat is rejected) is

3 moles of an ideal gas at a temperature of 27°C are mixed with 2 moles of an ideal gas at a temperature 227°C, determine the equilibrium temperature of the mixture, assuming no loss of energy.

A simple pendulum has time period 't'. Its time period in a lift which is moving upwards with acceleration 3 ms^–2 is

A wave y = a sin (ωt – kx) on a string meets with another wave producing a node at x = 0. Then the equation of the unknown wave is

A source of sound produces waves of wavelength 60 cm when it is stationary. If the speed of sound in air is 320 m s^-1 and source moves with speed 20 m s^-1, the wavelength of sound in the forward direction will be nearest to

A charge +q is at a distance L/2 above a square of side L. Then what is the flux linked with the surface?

Two metallic spheres of radii 1 cm and 3 cm are given charges of -1 × 10^-2 C and 5 × 10^-2C, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is

In a region, the potential is represented by V(x, y, z) = 6x - 8xy - 8y + 6yz, where V is in volts and x, y, z are in metres. The electric force experienced by a charge of 2 coulomb situated at point (1, 1, 1) is :

The power dissipated in the circuit shown in the figure is 30 Watts. The value of R is

Which of the following quantities do not change when a resistor connected to a battery is heated due to the current?

The magnetic field at the origin due to the current flowing in the wire is –

The back emf induced in a coil, when current changes from 1 ampere to zero in one milli-second, is 4 volts, the self inductance of the coil is

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BITSAT Past Year Paper- 2010 with solutions - Free MCQ Test Attempt JEE

MCQ Practice Test & Solutions: Test: BITSAT Past Year Paper- 2010 (150 Questions)

If P represents radiation pressure, c represents speed of light and Q represents radiation energy striking a unit area per second, the non-zero integers x, y and z such that PxQycz is dimensionless, are.

The position x of a particle varies with time (t) as x = A t2 – B t3. The acceleration at time t of the particle will be equal to zero. What is the value of t?

Two projectiles A and B are thrown with the same speed but angles are 40º and 50º with the horizontal. Then

A body is travelling in a circle at a constant speed. It

Two blocks are connected over a massless pulley as shown in fig. The mass of block A is 10 kg and the coefficient of kinetic friction is 0.2. Block A slides down the incline at constant speed. The mass of block B in kg is:

The potential energy for a force field is given by U (x, y) = cos (x + y). The force acting on a particle at position given by coordinates (0, π/4) is –

A long string is stretched by 2 cm and the potential energy is V. If the spring is stretched by 10 cm, its potential energy will be

The ratio of the accelerations for a solid sphere (mass ‘m’ and radius ‘R’) rolling down an incline of angle ‘θ’ without slipping and slipping down the incline without rolling is:

A system consists of three particles, each of mass m and located at (1, 1), (2, 2) and (3, 3). The co-ordinates of the centre of mass are

Suppose the gravitational force varies inversely as the nth power of distance. Then the time period of a planet in circular orbit of radius ‘R’ around the sun will be proportional to

Two planets A and B have the same material density. If the radius of A is twice that of B, then the ratio of the escape velocity vA/vB is

The upper end of a wire of diameter 12mm and length 1m is clamped and its other end is twisted through an angle of 30°. The angle of shear is

A spherical ball is dropped in a long column of a viscous liquid. The speed (v) of the ball as a function of time (t) may be best represented by

Two mercury drops (each of radius r) merge to form a bigger drop. The surface energy of the bigger drop, if T is the surface tension, is

Two circular plates of radius 5 cm each, have a 0.01 mm thick water film between them. Then what will be the force required to separate these plate (S.T. of water = 73 dyne/cm) ?

One kilogram of ice at 0°C is mixed with one kilogram of water at 80°C. The final temperature of the mixture is (Take specific heat of water = 4200 kJ/kg-°C, Latent heat of ice = 336 kJ/kg)

In the equation PVγ = constant, the value of γ is unity. Then the process is

An ideal refrigerator has a freezer at a temperature of 13ºC. The coefficient of performance of the engine is 5. The temperature of the air (to which heat is rejected) is

3 moles of an ideal gas at a temperature of 27°C are mixed with 2 moles of an ideal gas at a temperature 227°C, determine the equilibrium temperature of the mixture, assuming no loss of energy.

A simple pendulum has time period 't'. Its time period in a lift which is moving upwards with acceleration 3 ms–2 is

A wave y = a sin (ωt – kx) on a string meets with another wave producing a node at x = 0. Then the equation of the unknown wave is

A source of sound produces waves of wavelength 60 cm when it is stationary. If the speed of sound in air is 320 m s-1 and source moves with speed 20 m s-1, the wavelength of sound in the forward direction will be nearest to

A charge +q is at a distance L/2 above a square of side L. Then what is the flux linked with the surface?

Two metallic spheres of radii 1 cm and 3 cm are given charges of -1 × 10-2 C and 5 × 10-2 C, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is

In a region, the potential is represented by V(x, y, z) = 6x - 8xy - 8y + 6yz, where V is in volts and x, y, z are in metres. The electric force experienced by a charge of 2 coulomb situated at point (1, 1, 1) is :

The power dissipated in the circuit shown in the figure is 30 Watts. The value of R is

Which of the following quantities do not change when a resistor connected to a battery is heated due to the current?

The magnetic field at the origin due to the current flowing in the wire is –

The back emf induced in a coil, when current changes from 1 ampere to zero in one milli-second, is 4 volts, the self inductance of the coil is

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If P represents radiation pressure, c represents speed of light and Q represents radiation energy striking a unit area per second, the non-zero integers x, y and z such that P^xQ^yc^z is dimensionless, are.

The position x of a particle varies with time (t) as x = A t² – B t³. The acceleration at time t of the particle will be equal to zero. What is the value of t?

Two planets A and B have the same material density. If the radius of A is twice that of B, then the ratio of the escape velocity v_A/v_B is

In the equation PV^γ = constant, the value of γ is unity. Then the process is

A simple pendulum has time period 't'. Its time period in a lift which is moving upwards with acceleration 3 ms^–2 is

A source of sound produces waves of wavelength 60 cm when it is stationary. If the speed of sound in air is 320 m s^-1 and source moves with speed 20 m s^-1, the wavelength of sound in the forward direction will be nearest to

Two metallic spheres of radii 1 cm and 3 cm are given charges of -1 × 10^-2 C and 5 × 10^-2C, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is