Oscillations Test

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Oscillations Test - 11

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Weekly Quiz Competition

Question 1
1 / -0

If a body moves back and forth repeatedly about a mean position, it is said to possess

A
rotatory motion

B
projectile motion

C
oscillatory motion

D
Reciprocating motion

Solution

Oscillation is the process of swinging or moving to and fro in a steady, uninterrupted manner, and oscillatory motion is the movement created by the process.
Question 2
1 / -0

In the equations below, A, B, $$\omega$$ and $$\phi$$ are constants; $$y$$ and $$t$$ are variables; $$t$$ represents time. Only one of the following equations does not represent SHM. Which one is that?

A
$$y= A sin \omega t$$

B
$$y= B cos \omega t$$

C
$$y= A sin \omega t + B cos \omega t$$

D
$$y= A sin \omega t + B cos (2\omega t)$$

Solution

A linear combination of coherent simple harmonic motions would result in another simple harmonic motion.
But the combination of two incoherent simple harmonic motions($$Asin\omega t,B cos(2\omega t)$$) is NOT an SHM.
Hence the answer is option D.
Question 3
1 / -0

Displacement-time graph depicting an oscillatory motion is

A
cos curve

B
sine curve

C
tangent curve

D
straight line

Solution

The equation for displacement in oscillation is $$x=A\sin(\omega t+\alpha)$$
Since $$x$$ is a sine function of time, the graph is sinusoidal in nature.
Question 4
1 / -0

Swinging of table fan is an example of which type of motion?

A
Oscillatory motion

B
One dimenetional motion

C
Projectile motion

D
None of the above

Solution

Any motion in which the body moves to and fro repeatedly is known as oscillation. A table fan swings with a specific time period and constantly moves to and fro. Hence it is oscillatory motion
Question 5
1 / -0

The period of a pendulum is 0.20 seconds. What is the frequency of the pendulum?

A
$$0.20 Hz$$

B
$$10.0 Hz$$

C
$$20.0 Hz$$

D
$$5.0 Hz$$

E
The frequency cannot be determined without knowing the length of the pendulum

Solution

Time period of pendulum $$T = 0.20$$ s
Thus frequency of pendulum $$f = \dfrac{1}{T} = \dfrac{1}{0.20} = 5$$ Hz
Question 6
1 / -0

Which of the following is not an oscillatory motion?

A
The tuning fork

B
The stretched string

C
The motion of the swing

D
None of the above

Solution

Oscillation is a motion in which a body moves back and forth repeatedly about a mean position. Since in all the first 3 options, the motion is oscillatory, the correct option is 'None of these'.
Question 7
1 / -0

Which of the following is/are not periodic motion?

A
The motion of the bob of the simple pendulum

B
Motion of a bouncing ball under the action of gravity and friction

C
Motion of a planet around the sun

D
Both A and B

Solution

A periodic motion is the one which repeats itself at fixed intervals of time.
A bouncing ball doesn't bounce to the same height everytime. Hence we can't say that the motion is repeating.
Question 8
1 / -0

In case of force oscillations of a body

A
driving force is constant throughout.

B
driving force is to be applied only momentarily.

C
driving force has to be periodic and continuous.

D
driving force is not required.

Solution

In case of force oscillations of a body driving force has to be periodic and continuous.
Question 9
1 / -0

A particle executing simple harmonic motion with an amplitude A. The distance travelled by the particle in one time period is

A
zero

B
A

C
$$2$$A

D
$$4$$A

Solution

The distance travelled by the particle in one time period is $$4$$A.
Question 10
1 / -0

"The projection of the path of a particle in a circle along its diameter is an oscillatory motion" Is this statement correct

A
This is correct only if diameter of the circle is larger than 2m

B
This statement is always correct

C
This statement is always incorrect

D
This statement is correct only if the particle performs uniform circular motion

Solution

If the particle moves with uniform speed in a circle, the projection of its path along its diameter is an oscillatory motion. Thus option (d) is the correct option

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Oscillations Test - 11

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Oscillations Test - 11

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Question 1

rotatory motion

projectile motion

oscillatory motion

Reciprocating motion

Solution

Question 2

$$y= A sin \omega t$$

$$y= B cos \omega t$$

$$y= A sin \omega t + B cos \omega t$$

$$y= A sin \omega t + B cos (2\omega t)$$

Solution

Question 3

cos curve

sine curve

tangent curve

straight line

Solution

Question 4

Oscillatory motion

One dimenetional motion

Projectile motion

None of the above

Solution

Question 5

$$0.20 Hz$$

$$10.0 Hz$$

$$20.0 Hz$$

$$5.0 Hz$$

The frequency cannot be determined without knowing the length of the pendulum

Solution

Question 6

The tuning fork

The stretched string

The motion of the swing

None of the above

Solution

Question 7

The motion of the bob of the simple pendulum

Motion of a bouncing ball under the action of gravity and friction

Motion of a planet around the sun

Both A and B

Solution

Question 8

driving force is constant throughout.

driving force is to be applied only momentarily.

driving force has to be periodic and continuous.

driving force is not required.

Solution

Question 9

zero

A

$$2$$A

$$4$$A

Solution

Question 10

This is correct only if diameter of the circle is larger than 2m

This statement is always correct

This statement is always incorrect

This statement is correct only if the particle performs uniform circular motion

Solution

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