Question

In fig. shows a snapshot of a wave from of frequency 50 Hz in a string. The numbers in the diagram represents distance in centimeters. For this wave motion, find

1. wavelength
2. amplitude
3. velocity

Answer 1

Given: \[ f=50\ \text{Hz} \]

(a) Distance between two successive crests:

\[\lambda=20\ \text{cm}=0.20\ \text{m}\]

\[{\lambda=20\ \text{cm}}\]

(b) Amplitude = Maximum displacement of the particles from the mean position = 4 cm

(c) Velocity = frequency × wave length 

\[ v=f\lambda \]

\[ v=50\times0.20 \]

\[ {v=10\ \text{m s}^{-1}} \]