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One end of a taut string of length 3 {~m} along the x-axis is

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One end of a taut string of length $3 m$ along the $x$ -axis is fixed at $x = 0$ . The speed of the waves in the string is $100 ms^{- 1}$ . The other end of the string is vibrating in the $y$ -direction so that stationary waves are set up in the string. The possible waveform(s) of these stationary wave is (are)

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y (t) = A sin \frac{π x}{6} cos \frac{50 π t}{3}

y (t) = A sin \frac{π x}{3} cos \frac{100 π t}{3}

y (t) = A sin \frac{5 π x}{2} cos \frac{250 π t}{3}

y (t) = A sin \frac{5 π x}{2} cos 250 π t

Views: 6,105 students

Updated on: May 2, 2023

Book:

Waves And Thermodynamics (DC Pandey)

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Olivia Discussed

One end of a taut string of length

3 m

along the

x

-axis is fixed at

x = 0

. The speed of the waves in the string is

100 ms^{- 1}

. The other end of the string is vibrating in the

y

-direction so that stationary waves are set up in the string. The possible waveform(s) of these stationary wave is (are)

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

(a,c, d) There should be a node at

x = 0

and antinode at

x = 3 m

. Also,

v = \frac{ω}{k} = 100 m / s

∴ y = 0 at x = 0

and y = \pm A at x = 3 m .

Only (a), (c) and (d) satisfy the condition.

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Question Text	One end of a taut string of length $3 m$ along the $x$ -axis is fixed at $x = 0$ . The speed of the waves in the string is $100 ms^{- 1}$ . The other end of the string is vibrating in the $y$ -direction so that stationary waves are set up in the string. The possible waveform(s) of these stationary wave is (are)
Updated On	May 2, 2023
Topic	Waves
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 3
Upvotes	444
Avg. Video Duration	10 min

Text solutionVerified

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One end of a taut string of length 3 m along the x-axis is fixed at x=0. The speed of the waves in the string is 100 ms−1. The other end of the string is vibrating in the y-direction so that stationary waves are set up in the string. The possible waveform(s) of these stationary wave is (are)

Text solutionVerified

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