Find the wrong statement from the following about the equation of stationary wave given by Y = 0.04cos (π x)sin (50π t) m where t is in second. Then for the stationary wave. (a) Time period = 0.02 s (b) Wavelength = 2 m (c) Velocity = 50 m/s (d) Amplitude = 0.02 m

Answer: (a). ω = 50π ⇒ T = (2π)/(50π) = 0.04 s, so (a) is wrong. k = π ⇒ λ = 2 m; v = (ω)/(k) = 50 m/s: (b), (c) true. Each component wave has amplitude 0.04/2 = 0.02 m: (d) true. So the wrong statement is (a).

Find the wrong statement from the following about the equation of… | MHT CET 2019 (2 May, Shift 2)

Q89MHT CET 2019 · 2 MAY · SHIFT 2Easy

Stationary Waves & Vibrating Strings

Find the wrong statement from the following about the equation of stationary wave given by $Y = 0.04\cos(\pi x)\sin(50\pi t)\text{ m}$ where $t$ is in second. Then for the stationary wave.

Show answer and solution

Answer: (a)

$\omega = 50\pi \Rightarrow T = \frac{2\pi}{50\pi} = 0.04\text{ s}$ , so (a) is wrong.
$k = \pi \Rightarrow \lambda = 2\text{ m}$ ; $v = \frac{\omega}{k} = 50\text{ m/s}$ : (b), (c) true.
Each component wave has amplitude $\frac{0.04}{2} = 0.02\text{ m}$ : (d) true.
So the wrong statement is (a).

Report a mistake

Stationary Waves & Vibrating Strings question from MHT CET 2019 (2 May, Shift 2)

More questions on Stationary Waves & Vibrating Strings