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QJEEM17Ph314b: JEE Main 2017 Physics - Class 11 JEEM17Ph314b Solution: A standing wave is formed by the superposition of two waves…

A standing wave is formed by the superposition of two waves travelling in opposite directions. The transverse displacement is given by

y(x, t) = 0.5 sin (5π4x) cos(200 πt).

What is the speed of the travelling wave moving in the positive x direction ?

(x and t are in meter and second, respectively.)

Multiple Choice Options

  • A 160 m/s
  • B 90 m/s
  • C 180 m/s
  • D 120 m/s

Step-by-Step Verified Solution

Standard equation of standing wave,

y(x, t) = 2a sin kx cos ωt

Given,

y(x, t) = 0.5 sin (5π4x) cos (200πt).

So, k = 5π4 and ω = 200π

∴ Speed of travelling wave

= ωk = 200π5π4 = 160 m/s.

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