Embibe Experts Solutions for Chapter: Wave Motion, Exercise 1: MHT-CET 2017

A simple harmonic progressive wave is represented as $\mathrm{y}=0.03 \mathrm{s}\mathrm{i}\mathrm{n}\pi \left(2t-0.01x\right) \mathrm{m}$. At a given instant of time, the phase difference between two particles $25 \mathrm{m}$ apart is

A particle performing S.H.M. starts from the equilibrium position and its time period is $16 \mathrm{s}$. After $2 \mathrm{s}$ its velocity is $\pi \mathrm{ }\mathrm{m} {\mathrm{s}}^{-1}.$ Amplitude of oscillation is $\left(\cos {45}^o=\frac{1}{\surd 2}\right)$

Two identical progressive waves moving in opposite direction superimpose to produce a stationary wave. The wavelength of each progressive wave is $\lambda$. The wavelength of the stationary wave is

If two waves of the same frequency and amplitude respectively on superposition produce a resultant disturbance of the same amplitude, the waves differ in phase by

The frequency of two tuning forks $A$ and $B$ are $1.5\%$ more and $2.5\%$ less than that of the tuning fork $C$. When $A$ and $B$ are sounded together, $12$ beats are produced in $1$ second. The frequency of tuning fork $C$ is