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Question (11)

QN0038592

Two waves are represented by the equations and , where is in meter and in sec. The phase difference between them is

(A)
1.0 radian
(B)
1.25 radian
(C)
1.57 radian
(D)
0.57 radian

Correct Answer: A

Explanation:

Here,

and

Phase difference,

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Question (12)

QN0038593

In the wave equation
the velocity of the wave will be :

(A)
(B)
(C)
(D)

Correct Answer: C

Explanation:

Compairing the given with standard equation

and

velocity of the wave

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Question (13)

QN0038594

The diagram below shows the propagation of a wave. Which points are in same phase?

(A)
and
(B)
and
(C)
and
(D)
and

Correct Answer: D

Explanation:

The displacement of the points and are equal in magnitude and sign. So these points are in same phase.

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Question (14)

QN0038595

A wave travelling in the + ve -direction having displacement along -direction as , wavelength and frequency is represented by

(A)
(B)
(C)
(D)

Correct Answer: D

Explanation:

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Question (15)

QN0038596

A progressive sound wave of frequency is travelling through air with a speed of . A compression maximum appears at a place at a given instant. The minimum time interval after which the rarefraction maximum occurs at the same point, is

(A)
(B)
(C)
(D)

Correct Answer: D

Explanation:

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Question (16)

QN0038597

A wave travelling on a string is described by
The period of the wave is

(A)
(B)
(C)
(D)

Correct Answer: B

Explanation:

Time period, ; from given eqn.

or

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Question (17)

QN0038598

A transverse wave is represented by . The value of wavelength (in ) for which the wave velocity becomes equal to the maximum particle velocity, will be :

(A)
(B)
(C)
(D)
2

Correct Answer: A

Explanation:

Maximum particle velocity,

Wave velocity,

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Question (18)

QN0038599

A sound wave of frequency travels with the speed of along the positive -axis. Each point of the wave moves to and fro through a total distance of . What will be the mathematical expression of this travelling wave?

(A)
(B)
(C)
(D)

Correct Answer: B

Explanation:

Travelling wave

Here,

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Question (19)

QN0038600

Which of the following equations correctly represents a travelling wave having wavelength , frequency and travelling in positive -axis direction?

(A)
(B)
(C)
(D)

Correct Answer: D

Explanation:

We have

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Question (20)

QN0038601

A travelling harmonic wave is represented by the equation , where and are in meter and is in seconds. Which of the following is a correct statement about the wave?

(A)
The wave is propagating along the negative -axis with speed .
(B)
The wave is propagating along the positive -axis with speed .
(C)
The wave is propagating along the positive -axis with speed .
(D)
The wave is propagating along the negative -axis with speed .

Correct Answer: A

Explanation:

Comparing the given equation

with standard equation,

wave is moving along -ve x-axis with speed

.

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Question (11)

Two waves are represented by the equations and , where is in meter and in sec. The phase difference between them is

Explanation:

Link:

Question (12)

In the wave equation the velocity of the wave will be :

Explanation:

Link:

Question (13)

The diagram below shows the propagation of a wave. Which points are in same phase?

Explanation:

Link:

Question (14)

A wave travelling in the + ve -direction having displacement along -direction as , wavelength and frequency is represented by

Explanation:

Link:

Question (15)

A progressive sound wave of frequency is travelling through air with a speed of . A compression maximum appears at a place at a given instant. The minimum time interval after which the rarefraction maximum occurs at the same point, is

Explanation:

Link:

Question (16)

A wave travelling on a string is described by The period of the wave is

Explanation:

Link:

Question (17)

A transverse wave is represented by . The value of wavelength (in ) for which the wave velocity becomes equal to the maximum particle velocity, will be :

Explanation:

Link:

Question (18)

A sound wave of frequency travels with the speed of along the positive -axis. Each point of the wave moves to and fro through a total distance of . What will be the mathematical expression of this travelling wave?

Explanation:

Link:

Question (19)

Which of the following equations correctly represents a travelling wave having wavelength , frequency and travelling in positive -axis direction?

Explanation:

Link:

Question (20)

A travelling harmonic wave is represented by the equation , where and are in meter and is in seconds. Which of the following is a correct statement about the wave?

Explanation:

Link:

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In the wave equation
the velocity of the wave will be :

A wave travelling on a string is described by
The period of the wave is