Oscillations and Waves Test

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Oscillations and Waves Test - 1

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Weekly Quiz Competition

Question 1
1 / -0

The first overtone of a stretched wire of given length is 320 Hz. The first harmonic is

A
320 Hz

B
160 Hz

C
480 Hz

D
640 Hz
Question 2
1 / -0

Period of a periodic motion is the ________ interval of time after which the motion is __________.

A
average, repeated

B
mean, not repeated

C
smallest, repeated

D
largest, repeated

Solution

Time period of an oscillatory motion is the smallest interval of time for one complete oscillation.As when we apply the force on the bob,bob moves from mean position to extreme position then form extreme position to mean position and then again from mean to extreme in opposite direction and at last come to mean position.The time taken by bob in this whole process is called period of oscillation.
Question 3
1 / -0

A ball of mass 2 kg is moving with a velocity of 3 m/s. It collides with a spring of natural length 2 m and force constant 72 N/m. What will be the length of the compressed spring?

A
2 m

B
1.5 m

C
1 m

D
0.5 m
Question 4
1 / -0

Oscillatory motion is best described by

A
periodic to and fro motion

B
a rotational motion about an axis

C
a zig zag motion about a straight line

D
combination of translational motion and rotational motion

Solution

In oscillatory motion object moves to and fro about mean position periodically or after a particular interval of time.All oscillatory motions are periodic in nature
Question 5
1 / -0

A uniform wire of linear density 0.004 kg-m^-1 when stretched between two rigid supports, with a tension 3.6 x 10² N, resonates with a frequency of 420 Hz. The next harmonic frequency with which the wire resonates is 490 Hz. The length of the wire in metres is

A
1.41

B
2.14

C
2.41

D
3.14
Question 6
1 / -0

The pendulum of a wall clock executes

A
an oscillatory motion

B
a translatory motion

C
a rotary motion

D
a circular motion

Solution

It executes simple harmonic motion because in this motion restoring force is directly proportional to the displacement towards the mean position at any time.
Question 7
1 / -0

The angular amplitude of a simple pendulum is θ₀. What will be the maximum tension in its string?

A
mg(1 - θ₀)

B
mg(1 + θ₀)

C
mg(1 - θ₀2)

D
mg(1 + θ₀²)
Question 8
1 / -0

A source and an observer are approaching each other with 50 ms^-1 velocity. What will be its original frequency if the observer receives 400 cycles/s? Take speed of sound = 340 m/s

A
f_o≅ 300 cycles/s

B
f_o≅ 320 cycles/s

C
f_o≅ 340 cycles/s

D
f_o≅ 330 cycles/s

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Re-Attempt Weekly Quiz Competition

Oscillations and Waves Test - 1

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Oscillations and Waves Test - 1

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Question 1

320 Hz

160 Hz

480 Hz

640 Hz

Question 2

average, repeated

mean, not repeated

smallest, repeated

largest, repeated

Solution

Question 3

2 m

1.5 m

1 m

0.5 m

Question 4

periodic to and fro motion

a rotational motion about an axis

a zig zag motion about a straight line

combination of translational motion and rotational motion

Solution

Question 5

1.41

2.14

2.41

3.14

Question 6

an oscillatory motion

a translatory motion

a rotary motion

a circular motion

Solution

Question 7

mg(1 - θ0)

mg(1 + θ0)

mg(1 - θ02)

mg(1 + θ02)

Question 8

fo ≅ 300 cycles/s

fo ≅ 320 cycles/s

fo ≅ 340 cycles/s

fo ≅ 330 cycles/s

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mg(1 - θ₀)

mg(1 + θ₀)

mg(1 - θ₀2)

mg(1 + θ₀²)

f_o≅ 300 cycles/s

f_o≅ 320 cycles/s

f_o≅ 340 cycles/s

f_o≅ 330 cycles/s