JEE PHYSICS MCQ: WAVES

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Analyzing +4 | -1

The displacement of a string is given by

y(x, t)=0.06 \sin (2 \pi x / 3) \cos (120 \pi t)

, where

x

and

y

are in metre and

t

in second. The length of the string is

1.5 {~m}

and its mass is

3.0 \times 10^{-2} {~kg}

View answer and explanation

Correct option: C

It is the result of superposition of two waves of wavelength

3 {~m}

, frequency

60 {~Hz}

each travelling with a speed of

180 {~m} / {s}

in opposite direction.

Option C (It is the result of superposition of two waves of wavelength

3 {~m}

, frequency

60 {~Hz}

each travelling with a speed of

180 {~m} / {s}

in opposite direction) is correct because the given equation represents a stationary wave formed by the superposition of two waves with the specified wavelength, frequency, and speed.

More Questions from WAVES

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The source of sound generating a frequency of

3\,\,kHz

reaches an observer with a speed of

0.5

times, the velocity of sound in air. The frequency heard by the observer is A source of sound emits waves with frequency

f\mathrm{ }Hz

and speed

V\mathrm{ }m/sec

. Two observers move away from this source in opposite directions each with a speed

0.2\,\,V

relative to the source. The ratio of frequencies heard by the two observers will be Assertion: The wave function of a pulse is given by

y = \frac{3}{{{{\left( {2x + 3t} \right)}^2} + 4}},

it propagates in

(– \mathrm{ve}) \,x

-direction.
Reason: The given wave function is of the form

y = f(kx +\omega t),

which represent a wave travelling in negative

X

-direction. In the fundamental mode, time taken by the wave to reach the closed end of the air filled pipe is

0.01\,\,s

. the fundamental frequency is A rope

5 \mathrm{~m}

long has a total mass of

245 \mathrm{~g}

. It is stretched with a constant tension of

1 \mathrm{~kg}

wt. If it is fixed at one end and shaken by hand at the other end, what frequency of shaking will make it break up into three vibrating segments? Take

g=980 \mathrm{~cm} \mathrm{~s}^{-2}

. If

T

is the reverberation time of an auditorium of volume

V

then