JEE Main 2017PhysicsWaves and SoundEasyMCQ

JEE Main 2017 — Waves and Sound Question with Solution

JEE Main 2017 (09 Apr Online)

Question

A standing wave is formed by the superposition of two waves travelling in opposite directions. The transverse displacement is given by, yx, t=0.5sin⁡5π4xcos⁡200πt. What is the speed of the travelling wave moving in the positive x direction? (x and t are in meter and second, respectively)

Choose an option

Show full solutionCorrect option: C
Correct answer
C160 m s-1

Step-by-step explanation

y=2asinkxcosωt

⇒k=5π4 m-1, ω=200π rad s-1,

v=ωk=200π5π4=160 m s-1

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About this question

This is a previous-year question from JEE Main 2017, covering the Waves and Sound chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.