Embibe Experts Solutions for Chapter: Wave Motion on a String, Exercise 1: Exercise-1

There are some points in a stationary waves which -

A plane wave is described by the equation $y=3\cos \left(\frac{x}{4}-10t-\frac{\pi }{2}\right).$ The maximum velocity of the particles of the medium due to this wave is - 

A stationary wave is represented by $y=A\sin \left(100t\right)\cos (0.01x),$ where $y$ and $A$ are in millimeters, $t$ is in seconds and $x$ is in metres. The velocity of the wave is 

The frequency of a stretched wire is $n$, if tension is increased by two times, the frequency will be

Equation $y=2a\cos \left(kx\right)\sin \left(\omega t\right)$, represents

In a tight string, to double the fundamental frequency its length is made $\frac{3}{4}$ times the initial length, tension will be changed by which multiple? 

In the $n^{\mathrm{th}}$ normal mode of vibration of a string, there are