1. The simple harmonic motion of a particle is given by y = 3 sin wt + 4 cos wt

What is the amplitude?

(1) 1

(2) 7

(3) 5 ✔

(4) 12

2. If the magnitude of displacement is numerically equal to that of acceleration, then the time period is :

(1) 1 second

(2) Ï€ second

(3) 2Ï€ second ✔

(4) 4Ï€ second

3. If the mass of an oscillator is numerically equal to its force constant, then the frequency is :

(1) Ï€

(2) 2Ï€

(3) 1/Ï€

(4) 1/2Ï€ ✔

4. Time period of oscillation of a spring is 12 s on the Earth. What shall be the time period if it is taken to Moon?

(1) 12 s ✔

(2) 12/6 s

(3) 12×6 s

(4) 16×√12 s

5. What shall be the time period of a simple pendulum in a freely falling lift? Given : T = time period of the pendulum in the lift at rest.

(1) T

(2) 2T

(3) T/g

(4) infinite ✔

6. What is the minimum time taken by a particle in SHM of time period T from the point of maximum displacement to that at which the displacement is half the amplitude?

(1) T/4

(2) T/8

(3) T/12

(4) T/6 ✔

7. The equation of SHM of a particle is a + 4Ï€²x = 0, where a is instantaneous linear acceleration at displacement x. The frequency of motion is :

(1) 1 ✔

(2) 4Ï€

(3) 1/4

(4) 4

8. A particle performs simple harmonic motion along a line 4 cm long. The velocity of the particle when it passes through the mean position is Ï€ m/s. The period of SHM is :

(1) 0.01 s

(2) 0.04 s ✔

(3) 0.8 s

(4) 0.6 s

9. The time period of a mass suspended from a spring is 5 s. The spring is cut into four equal parts and the same mass is now suspended from one of its parts. The period is now

(1) 5 s

(2) 2.5 s ✔

(3) 1.25 s

(4) 5/16 s

10. The time period of a second's pendulum is 2 s. The spherical bob which is empty from inside has a mass of 50 g. This is now replaced by another solid bob of the same radius but having a different mass of 100 g. The new period will be :

(1) 4 s

(2) 1 s

(3) 2 s ✔

(4) 8 s

11. For a simple pendulum, the graph between l and T is :

(1) hyperbola

(2) curved line

(3) straight line

(4) parabola ✔

12. The velocity and acceleration of a particle executing SHM have a steady phase relationship. The acceleration leads velocity in phase by :

(1) + Ï€

(2) + Ï€/2 ✔

(3) – Ï€/2

(4) – Ï€

13. A clock P is based on oscillation of a spring and another clock Q is based on pendulum motion. Both the clocks run at the same rate on Earth. Both the clocks are then taken to a planet having same density as Earth but twice the radius. Then

(1) P will run faster than Q.

(2) Q will run faster than P. ✔

(3) both will run at the same rates as on Earth.

(4) both will run at equal rates but faster than on Earth.

14. Two simple harmonic motions have amplitudes 4 cm and 7 cm. The difference in phase is Ï€/2. The resultant amplitude is :

(1) 4 cm

(2) 7 cm

(3) √65 cm ✔

(4) 3 cm

15. One spring has force constant 200 N/m, another has force constant 500 N/m. If they are joined in series, the force constant will be nearest to

(1) 700 N/m

(2) 300 N/m

(3) 143 N/m ✔

(4) 100 N/m

16. The tension in the string of a simple pendulum is

(1) constant

(2) maximum in the extreme position

(3) zero in the mean position

(4) none of these ✔

What is the amplitude?

(1) 1

(2) 7

(3) 5 ✔

(4) 12

2. If the magnitude of displacement is numerically equal to that of acceleration, then the time period is :

(1) 1 second

(2) Ï€ second

(3) 2Ï€ second ✔

(4) 4Ï€ second

3. If the mass of an oscillator is numerically equal to its force constant, then the frequency is :

(1) Ï€

(2) 2Ï€

(3) 1/Ï€

(4) 1/2Ï€ ✔

4. Time period of oscillation of a spring is 12 s on the Earth. What shall be the time period if it is taken to Moon?

(1) 12 s ✔

(2) 12/6 s

(3) 12×6 s

(4) 16×√12 s

5. What shall be the time period of a simple pendulum in a freely falling lift? Given : T = time period of the pendulum in the lift at rest.

(1) T

(2) 2T

(3) T/g

(4) infinite ✔

6. What is the minimum time taken by a particle in SHM of time period T from the point of maximum displacement to that at which the displacement is half the amplitude?

(1) T/4

(2) T/8

(3) T/12

(4) T/6 ✔

7. The equation of SHM of a particle is a + 4Ï€²x = 0, where a is instantaneous linear acceleration at displacement x. The frequency of motion is :

(1) 1 ✔

(2) 4Ï€

(3) 1/4

(4) 4

8. A particle performs simple harmonic motion along a line 4 cm long. The velocity of the particle when it passes through the mean position is Ï€ m/s. The period of SHM is :

(1) 0.01 s

(2) 0.04 s ✔

(3) 0.8 s

(4) 0.6 s

9. The time period of a mass suspended from a spring is 5 s. The spring is cut into four equal parts and the same mass is now suspended from one of its parts. The period is now

(1) 5 s

(2) 2.5 s ✔

(3) 1.25 s

(4) 5/16 s

10. The time period of a second's pendulum is 2 s. The spherical bob which is empty from inside has a mass of 50 g. This is now replaced by another solid bob of the same radius but having a different mass of 100 g. The new period will be :

(1) 4 s

(2) 1 s

(3) 2 s ✔

(4) 8 s

11. For a simple pendulum, the graph between l and T is :

(1) hyperbola

(2) curved line

(3) straight line

(4) parabola ✔

12. The velocity and acceleration of a particle executing SHM have a steady phase relationship. The acceleration leads velocity in phase by :

(1) + Ï€

(2) + Ï€/2 ✔

(3) – Ï€/2

(4) – Ï€

13. A clock P is based on oscillation of a spring and another clock Q is based on pendulum motion. Both the clocks run at the same rate on Earth. Both the clocks are then taken to a planet having same density as Earth but twice the radius. Then

(1) P will run faster than Q.

(2) Q will run faster than P. ✔

(3) both will run at the same rates as on Earth.

(4) both will run at equal rates but faster than on Earth.

14. Two simple harmonic motions have amplitudes 4 cm and 7 cm. The difference in phase is Ï€/2. The resultant amplitude is :

(1) 4 cm

(2) 7 cm

(3) √65 cm ✔

(4) 3 cm

15. One spring has force constant 200 N/m, another has force constant 500 N/m. If they are joined in series, the force constant will be nearest to

(1) 700 N/m

(2) 300 N/m

(3) 143 N/m ✔

(4) 100 N/m

16. The tension in the string of a simple pendulum is

(1) constant

(2) maximum in the extreme position

(3) zero in the mean position

(4) none of these ✔

## No comments:

## Post a comment