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 (5π/4x) cos(200 π t). What is the speed of the travelling wave moving in the positive x direction? (x and t are in meter and second, respectively.) (a) 160 m/s (b) 90 m/s (c) 180 m/s (d) 120 m/s

Answer: (a). Speed of each travelling wave v = (ω)/(k). v = (200π)/(5π/4) = 160 m/s. So the answer is (a) 160 m/s.

A standing wave is formed by the superposition of two waves… | JEE Main 2017 (9 Apr, Shift 1)

Q98JEE Main 2017 · 9 APR · SHIFT 1Easy

Stationary Waves & Vibrating Strings

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 $\left(\frac{5\pi}{4}x\right)$ cos(200 $\pi$ t).

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

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

Show answer and solution

Answer: (a)