Free Printable Oscillations & Waves

1.

A solid sphere of mass 4kg and radius 0.05 m is suspended from a wire. What is the period of oscillation, if the torque required to twist the wire is $4\times10^{-3}$ N-m/rad

a)

6.28 sec

b)

3.14 sec

c)

9.8 sec

d)

1.57 sec

2.

A force of 30 N stretches a very light ideal spring 0.73 m from equilibrium. What is the force constant (spring constant) of the spring?

a)

41 N/m

b)

22 N/m

c)

34 N/m

d)

46 N/m

3.

If the length of a simple pendulum is doubled, its period will:

a)

halve

b)

increase by a factor of sqrt(2)

c)

decrease by a factor of sqrt(2)

d)

double

4.

In any system in SHM, the restoring force acting on the mass in the system is proportional to

a)

the displacement

b)

the length of the pendulum

c)

the mass

d)

the frequency

5.

If a simple harmonic oscillator has a displacement of 0.02 m and acceleration equal to 2.00 m s^-2, the angular frequency is equal to:

a)

10.0 rad s^-1

b)

0.10 rad s^-1

c)

100 rad s^-1

d)

1.00 rad s^-1

6.

Given equation of SHM, x=0.34 cos 3000t where x in mm and t in second. The frequency is:

a)

3000 Hz

b)

3000/2π Hz

c)

0.74/2π Hz

d)

3000/π Hz

7.

The acceleration of a particle in SHM is:

a)

always zero

b)

always constant

c)

maximum at amplitude

d)

maximum at the equilibrium position

8.

Which of the following equation represent the displacement of SHM:

a)

x= A tan ωt

b)

x= A sin ωt

c)

x= A sin ωt cos kx

d)

x= A sin (ωt ± kx)

9.

The displacement x, for a particle at time t in simple harmonic motion is given by the equation, x = 10 sin 20t where x is in meters and t is in seconds. Determine the displacement at t=10 s

a)

91.3 m

b)

8.73 m

c)

-91.3 m

d)

-8.73 m

10.

Two simple harmonic oscillators of mass 12 gram and 48 gram oscillate separately under the action same restoring force. The ratio of their frequencies is

a)

2:1

b)

1:2

c)

4:1

d)

1:4

11.

Light is an example of which type of wave?

a)

Transverse

b)

Longitudinal

c)

Both

d)

Neither

12.

A wave traveling at 340. m/s with a wavelength of 7.65 m will have a frequency of _____.

a)

44.4 Hz

b)

0.0225 Hz

c)

2,601 Hz

d)

none of these

13.

Refractive index is

a)

$\frac{\sin\ i}{\sin\ r}$

b)

$\frac{c}{\sqrt{\mu\epsilon}}$

c)

$\sqrt{\mu\epsilon}$

d)

$\frac{v_{\phi}}{c}$

14.

Snell's law of refraction

a)

$n_1\sin\theta_1=n_2\sin\theta_2$

b)

$n=\frac{\sin\ i}{\sin\ r}$

c)

$n=\frac{c}{v}$

d)

$n=\sin\ i$

15.

Velocity of sound after Laplace's correction is

a)

$\sqrt{\frac{p_0}{\rho}}$

b)

$\frac{\gamma p_0}{\rho_0}$

c)

$\sqrt{\frac{\gamma p_0}{\rho_0}}$

d)

$\sqrt{\frac{kT}{M}}$

16.

Characteristic impedence is given by

a)

$T_0\rho_0$

b)

$\frac{T_0}{\rho_0}$

c)

$\sqrt{\frac{T_0}{\rho_0}}$

d)

$\sqrt{\rho_0T_0}$

17.

1 db is equal to

a)

Factor of 1000 in intensity

b)

Factor of 1.26 in intensity

c)

Factor of $10^{2.6}$ in intensity

d)

Factor of 10 in intensity

18.

Group velocity is given by

a)

$\frac{\text{d}\omega}{\text{d}k}$

b)

$\frac{\omega}{k}$

c)

$v_0k$

d)

$\sqrt{\frac{T_0}{\rho_0}}$

19.

Time duration of a pulse is given by

a)

$\Delta\nu\ \Delta t\approx1$

b)

$\Delta\omega\ \Delta t\approx1$

c)

$\Delta\nu\ \Delta t\approx2\pi$

d)

$\Delta\nu\ \Delta t\ \approx\frac{h}{2\pi}$

20.

The length of the second pendulum is given by

a)

2 m

b)

0.5 m

c)

1 m

d)

3.14 m

Oscillations & Waves

Total questions: 20

Worksheet time: 12mins

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