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01-For what displacement, the P.E becomes 1/4 of its maximum value?

X=Xo

X=Xo/2

X=Xo/4

X=Xo^2 / 2

02-Total distance travelled by bob of simple pendulum in one vibration is equal to:

Amplitude

Twice amplitude

Square of amplitude

Four times of amplitude

03-In damped harmonic oscillation, which one decrease with time?

Amplitude of vibration

Both amplitude and energy

Energy of vibration

Neither energy nor vibration

04-A spring of constant K is cut into two parts by the ratio of length 1 : 2. The spring constant of larger one is:

K/2

2K/3

K/3

3K/2

05-P.E in S.H.M is maximum at the extreme position because:

Acceleration is minimum

Amplitude is maximum

Acceleration is directed away from the mean position

Velocity is zero

06-The length of the seconds' pendulum on the surface of Earth is 1m. Its length on the surface of Moon, where g is 1/6 th the value of g on the surface of Earth, is

1/6 m

6 m

1/36 m

36 m

07-An oscillatory motion must be simple harmonic if:

The motion is along the arc of the circle

The potential energy is equal to the kinetic energy

The acceleration varies sinusoidally with time

The amplitude is small

08-Which graph correctly shows the variation with time 't' of kinetic energy Ek of tan object undergoing simple harmonic motion of period T?

09-Two springs are connected to a block of mass M placed on friction less surface as shown in the figure. If both the spring have a spring constant K, the frequency of oscillation of block is:

1/2π √k/M

1/2π√2k/M

1/2π√k/2M

1/2π√M/k

10-A simple pendulum is oscillating in a lift. If lift starts moving upward with acceleration 'a' then its period will:

Increase

Decrease

Remains same

Not produce

11-The graph of acceleration as a function of displacement in S.H.M is:

Straight line

Circle

Parabola

Ellipse

12-The maximum acceleration of a body executing S.H.M is a-not and maximum velocity is v-not. The amplitude is given by:

V-not^2 / a-not

A-not^2 / v-not

V-not a-not

1 / (a-not v-not)

13-Electrical resonance is observed in:

Radio

Both in radio and microwave oven

Microwave oven

Neither in radio nor in microwave oven

14-The graph represents:

S.H.M

RECTILINEAR MOTION

CIRCULAR MOTION

UNIFORM CIRCULAR MOTION

15-A body moves with S.H.M and makes n-complete oscillation in one second. What is its angular frequency?

N rad s-1

1/n rad s-1

2 π rad s-1

2π/n rad s-1

16-When a body is performing S.H.M, its acceleration is:

Inversely proportional to the displacement

Directly proportional to the applied force

Directly proportional to the amplitude

Directly proportional to the displacement but in opposite direction

17-If F=0.08 N and x=4 cm, then the value of 'K' is ......... Nm-1.

18-At main position of harmonic oscillator:

Minimum K.E and minimum P.E

Maximum K.E and minimum P.E

Minimum K.E and maximum P.E

Maximum K.E and maximum P.E

19-A body moves with SHM and makes one complete oscillation in second. What is the angular frequency?

2 rads-1

1 rads-1

2π rads-1

π rads-1

20-The distance covered by a body in one complete vibration is 20 cm. What is the amplitude of body?

10 cm

15 cm

5 cm

7.5 cm

21-How long must be length of a simple pendulum in order to have a period of one second

1 m

0.25 m

50 m

1.5 m

22-A particle executing S.H.M has an amplitude of 6 cm. Its acceleration at a distance of 2 cm from the mean position is 8 cm s-2. The maximum speed of the particle is .......... cms-1.

23-For a body executing S.H.M, when X=Xo the velocity is

Maximum

Zero

Minimum

None of these

24-If a body starts its motion from mean position, its phase at this point would be:

π/2 or 0

0 or π

0 or 3π/2

π/2 or 3π/2

25-If a hollow bob of simple pendulum be filled with mercury that rains out slowly, its time period:

Increase continuously

Remains same

Decreases continuously

First increases then decreases

26-If the period of oscillation of mass M suspended from a spring is 1 sec then the period of mass 4 M will be:

1/4 sec

2 sec

1/2 sec

4 sec

27-When quarter of cycle is completed by a body in a circular motion, the phase vibration is:

180'(π radian)

90', [π/2 radian]

270', [3π/2 radian]

28-A force of 20 N applied on a elastic spring. If the extension produced in the spring is 10 c, the spring constant of the spring is:

14 Nm-1

200 Nm-1

18 Nm-1

200 Nm

29-A particle is moving such that the force F on it changes with distance 'r' from a fixed point as shown. Which graph best shows the relationship between potential energy Ep of prticle and the distance 'r'?

30-Restoring force responsible for the vibratory motion of the simple pendulum is:

Mg cos θ

Mg tan θ

-mg sinθ

31-Tension in the string of simple pendulum is

Remains constant

Maximum at the mean position

Maximum at the extreme position

Zero at mean position

32-A simple pendulum suspended from ceiling of a lift has time period T when the lift is at rest. When the lift falls freely then its:

Time period becomes zero

Time period is infinite

Acceleration becomes zero

Frequency becomes infinity

33-When bob a simple pendulum is at mean position, the value of P.E is:

Maximum

Zero

Minimum

None of these

34-Resonance occurs when one of the natural frequencies of vibration of the forced or driven harmonic oscillator

Greater than the frequency of applied force

Equal to the frequency of applied force

Less than the frequency of applied force

All of them

35-A heavily damped system has a fairly flat resonance curve in:

Distance time graph

An acceleration time graph

Velocity time graph

An amplitude frequency graph

36-A simple harmonic oscillator has a time period of 10 s. Which equation relates its acceleration 'a' and displacement 'x' ?

A=-10x

A-(20π)^2x

A=-(20π)x

A=-(2π/10)^2x

37-Two springs have force constants in the ratio 4:9. Their time periods are in the ratio of

3:2

1:3

2:3

3:1

38-In a simple harmonic motion, which graph in figure shows how the total energy E varies with time t during one cycle?

39-A pendulum clock is taken into a mine from surface of earth. Its time period

Decreases

Remains same

Increases

None of these

40-A simple pendulum length 'l' is suspended from a rigid support. What minimum horizontal velocity should be given so that bob reaches the height of support?

�gl

�2gl

�3gl

�5gl

41-The time period of a simple pendulum in a lift descending with constant acceleration g is:

T=2 pi √l/g

T=2pi √l/2g

Zero

Infinite

42-Damping is the process where by energy is lost in a:

Body

String

Oscillating system

All of these

43-Equation of a particle vibrating in SHM is 2y=8 sin 4πt. Its amplitude and angular frequency is:

6 cm and 2π rad s-1

32 m & 2 Hz

16 cm & 4 Hz

4 cm 7 4π rads-1

44-The product of angular frequency w and time period will be:

2π

γ/2

45-If a mass of 0.5 kg is attached to a spring and maximum energy stored in it is 0.04J and it oscillate with a time period of π second, then the amplitude of motion will be:

10 cm

80 cm

20 cm

40 cm

46-The amplitude of a vibrating body situated in a resistive medium:

Decreases linearly with time

Decreases exponentially

Remain constant with time

Inversely proportional to time

47-The displacement of S.H.M of amplitude Xo in one period is:

4Xo

2Xo

Zero

48-A particle executing S.H.M of period 4s. Then time taken by it to move from mean position to half the amplitude is:

1/3 s

2/3 s

1/5 sec

4 s

49-In order to double the period of simple pendulum:

Length should be double

Mass should be quadrupled

Mass should be doubled

Length should be quadrupled

50-A body performing SHM has a displacement x given by the equation x=30sin50t, where time in seconds. What is the frequency of oscillation?

0.020 Hz

0.13 Hz

8.0 Hz

30 Hz

PHYSICS-Oscillations (SMART INSTITUTE)

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