Embibe Experts Solutions for Chapter: Stationary Waves, Exercise 1: MHT-CET 2017

A stretched string fixed at both ends has $m$ nodes, then the length of the string will be

A stretched wire of length $260 \mathrm{cm}$ is set into vibrations. It is divided into three segments whose frequencies are in the ratio $2:3:4$ . Their lengths must be

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

Two identical wires are vibrating in unison. If the tension in one of the wires is increased by $2\%$, five beats are produced per second by the two vibrating wires. The initial frequency of each wire is $\left(\sqrt{1.02}=1.01\right)$

A closed organ pipe and an open organ pipe have their first overtones identical in frequency. Their lengths are in the ratio

A pipe open at one end has length $0.8 \mathrm{m}$. At the open end of the tube a string $0.5 \mathrm{m}$ long is vibrating in its $1\mathrm{st}$ overtone and resonates with fundamental frequency of pipe. If tension in the string is $50 \mathrm{N}$, the mass of string is (speed of sound $=320 \mathrm{m} {\mathrm{s}}^{-1}$)

On closing an open organ pipe from one end, it is noticed that the frequency of third harmonic is $50 \mathrm{Hz}$ more than the fundamental frequency of vibration in open organ pipe. The fundamental frequency of open organ pipe is

In Melde's experiment, when the tension decreases by $0.009 \mathrm{kg}-\mathrm{wt}$, the number of loops changes from $4$ to $5$. The initial tension is