Question Bank for JEE Main & Advanced Physics Wave Mechanics Graphical Questions

1)

The rope shown at an instant is carrying a wave travelling towards right, created by a source vibrating at a frequency\[n\]. Consider the following statements

I. The speed of the wave is \[4n\times ab\] II. The medium at \[a\] will be in the same phase as \[d\]after \[\frac{4}{3n}s\] III. The phase difference between \[b\] and \[e\] is \[\frac{3\pi }{2}\] Which of these statements are correct [AMU 2001]

A)

I, II and III

B)

II only

C)

I and III

D)

III only

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2)

Two pulses in a stretched string whose centres are initially 8 cm apart are moving towards each other as shown in the figure. The speed of each pulse is 2 cm/s. After 2 seconds, the total energy of the pulses will be [IIT-JEE (Screening) 2001]

A)

Zero

B)

Purely kinetic

C)

Purely potential

D)

Partly kinetic and partly potential

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3)

A man is standing on a railway platform listening to the whistle of an engine that passes the man at constant speed without stopping. If the engine passes the man at time \[{{t}_{0}}\]. How does the frequency \[f\] of the whistle as heard by the man changes with time [AMU 2001; KCET 2002; MP PMT 2004]

A)

B)

C)

D)

View Solution

4)

The figure shows four progressive waves A, B, C, and D with their phases expressed with respect to the wave A. It can be concluded from the figure that [CPMT 1986, 88]

A)

The wave C is ahead by a phase angle of p/2 and the wave B lags behind by a phase angle of p /2

B)

The wave C lags behind by a phase angle of p/2 and the wave B is ahead by a phase angle of p /2

C)

The wave C is ahead by a phase angle of p and the wave B lags behind by a phase angle of p

D)

The wave C lags behind by a phase angle of p and the wave B ahead by a phase angle of p

View Solution

5)

The diagram below shows the propagation of a wave. Which points are in same phase [AIIMS 1982]

A)

F, G

B)

C and E

C)

B and G

D)

B and F

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6)

Fig. below shows the wave \[y=A\sin (\omega t-kx)\] at any instant travelling in the +ve x-direction. What is the slope of the curve at B

A)

\[\omega /A\]

B)

\[k/A\]

C)

\[kA\]

D)

\[\omega A\]

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7)

Figure here shows an incident pulse P reflected from a rigid support. Which one of A, B, C, D represents the reflected pulse correctly

A)

B)

C)

D)

View Solution

8)

Which of the following curves represents correctly the oscillation given by \[y={{y}_{0}}\sin (\omega \,t-\varphi )\], where \[0<\varphi <90\]

A)

A

B)

B

C)

C

D)

D

View Solution

9)

The correct graph between the frequency n and square root of density (r) of a wire, keeping its length, radius and tension constant, is

A)

B)

C)

D)

View Solution

10)

A sound source emits sound waves in a uniform medium. If energy density is E and maximum speed of the particles of the medium is \[{{v}_{\max }}.\]The plot between E and \[{{v}_{\max }}\] is best represented by

A)

B)

C)

D)

View Solution

11)

If the speed of the wave shown in the figure is 330m/s in the given medium, then the equation of the wave propagating in the positive x-direction will be (all quantities are in M.K.S. units)

A)

\[y=0.05\sin 2\pi (4000\,t-12.5\,x)\]

B)

\[y=0.05\sin 2\pi (4000\,t-122.5\,x)\]

C)

\[y=0.05\sin 2\pi (3300\,t-10\,x)\]

D)

\[y=0.05\sin 2\pi (3300\,x-10\,t)\]

View Solution

12)

Two pulses travel in mutually opposite directions in a string with a speed of 2.5 cm/s as shown in the figure. Initially the pulses are 10cm apart. What will be the state of the string after two seconds

A)

B)

C)

D)

View Solution

13)

Two tuning forks P and Q are vibrated together. The number of beats produced are represented by the straight line OA in the following graph. After loading Q with wax again these are vibrated together and the beats produced are represented by the line OB. If the frequency of P is 341Hz, the frequency of Q will be

A)

341 Hz

B)

338 Hz

C)

344 Hz

D)

None of the above

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14)

An observer starts moving with uniform acceleration a toward a stationary sound source emitting a whistle of frequency n. As the observer approaches source, the apparent frequency, heard by the observer varies with time as

A)

B)

C)

D)

View Solution

15)

A wave is travelling along a string. At an instant, shape of the string is as shown in fig. At this instant, point A is moving upwards. Which of the following statements is/are correct

A)

The wave is travelling to the right

B)

Displacement amplitude of the wave is equal to displacement of B at this instant

C)

At this instant velocity of C is also directed upwards

D)

Phase difference between A and C may be equal to \[\frac{\pi }{2}\]

View Solution

16)

The displacement-time graphs for two sound waves A and B are shown in the figure, then the ratio of their intensities \[{{I}_{A}}/{{I}_{B}}\] is equal to

A)

1 : 4

B)

1 : 16

C)

1 : 2

D)

1 : 1

View Solution

17)

A wave motion has the function \[y={{a}_{0}}\sin (\omega \,t-kx)\]. The graph in figure shows how the displacement y at a fixed point varies with time t. Which one of the labelled points shows a displacement equal to that at the position \[x=\frac{\pi }{2k}\] at time t = 0

A)

P

B)

Q

C)

R

D)

S

View Solution

18)

The diagram below shows an instantaneous position of a string as a transverse progressive wave travels along it from left to right

Which one of the following correctly shows the direction of the velocity of the points 1, 2 and 3 on the string

A)

\[1\text{ -}\,\to ~2\,\text{-}\,\to 3\,\text{-}\,\to \]

B)

\[1\text{ -}\,\to ~2\,\text{-}\leftarrow 3\,\text{-}\,\to \]

C)

\[1\text{ -}\downarrow ~2\,\text{-}\downarrow 3\,\text{-}\downarrow \]

D)

\[1\text{ -}\downarrow ~2\,\text{-}\uparrow 3\,\text{-}\downarrow \]

View Solution

JEE Main & Advanced Physics Wave Mechanics Question Bank

done Graphical Questions Total Questions - 18

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Graphical Questions Total Questions - 18