Speed of a Travelling Wave

The equation of a wave on a string of linear mass density $0.04 \mathrm{kg} {\mathrm{m}}^{-1}$ is given by,  $y=0.02\left(\mathrm{m}\right)\sin \left[2\mathrm{\pi }\left(\frac{t}{0.04\left(\mathrm{s}\right)}-\frac{x}{0.50\left(\mathrm{m}\right)}\right)\right]$.

The tension in the string is $n\times {10}^{-2 }\mathrm{N}$. Write the value of $n$.

What factors determine the speed of a longitudinal wave in a medium?

Speed of a transverse wave in a string depends on the tension and linear mass density of the string. Find the formula for the speed of the wave in the string.

Speed of a longitudinal wave in a medium is given by, $v=\sqrt{Ed}$, where E is elasticity of the medium and d is its density. 

To increase the frequency from $100 \mathrm{Hz}$ to $400 \mathrm{Hz}$, the tension in the string has to be changed by,

Two Cu wires of radii $R_1$ and $R_2\text{,}$ such that $\left(R_1>R_2\right).$ Then, which of the following is true? 

A sonometer wire $1$ metre along weighing $2 \mathrm{g}$ is in resonance with a tuning fork of frequency $300 \mathrm{Hz}$. Magnitude of tension in Newton in the sonometer wire is 

A solid ball is suspended from the ceiling of a motor car through a light string. A transverse pulse travels at the speed $60 \mathrm{cm} {\mathrm{s}}^{-1}$ on the string when the car is at rest. When the car accelerates on a horizontal road, speed of the pulse is $66 \mathrm{cm} {\mathrm{s}}^{-1}$. The acceleration of the car is nearly $\left(g=10 {\mathrm{ms}}^{-2}\right)$

A uniform rope of length $12 \mathrm{m}$ and mass $6 \mathrm{kg}$ hangs vertically from a rigid support. A block of mass $2 \mathrm{kg}$ is attached to the free end of the rope. A transverse pulse of wavelength $0.06 \mathrm{m}$ is produced at the lower end of the rope. Wavelength of the pulse when it reaches the top of the rope is ______.

The ratio of the speed of sound in nitrogen gas to that in helium gas at $300 \mathrm{K}$ is

What is the ratio of velocities of sound waves in oxygen and hydrogen if their density are in ratio $16:1$?

Considering the compositions of air to be $76\%$ Nitrogen and $26\%$ Oxygen by weight, calculate the velocity of sound in air. (Molecular weights of Nitrogen and Oxygen are $28$ and $32$, respectively, and $\gamma =1.4$.)

A man standing between two parallel hills, claps his hand and hears successive echoes at regular intervals of $1 \mathrm{s}$. If velocity of sound is $340 \mathrm{m}\mathrm{ }{\mathrm{s}}^{-1}$, then the distance between the hills is

The Newton's formula for the velocity of the longitudinal waves in a medium is expressed as

Equation of a traveling wave set up on a string is $y=A\sin \left[\left(9m^{-1}\right)x-\left(450s^{-1}\right)t\right]$ . If linear mass density of the string is $5g/m$ , then the tension in string is

A block of mass $M$ is hanging by a string of negligible mass in a car. The speed of wave in the string $60 m/s$ . Now car is accelerated horizontally by an acceleration a the speed of wave in the string is $60.5$ m/s. What is a in terms of g?

Two strings $A$ and $B$ of same material are stretched by same tension. The radius of the string $A$ is double the radius of string $B$. Transverse wave travels on string $A$ with speed $V_A$ and on string $B$ with speed $V_B$. The ratio $\frac{V_A}{V_B}$ is

A 4kg block is suspended from the ceiling of an elevator through a spring having a linear mass density of $19.2\times {10}^{-3}kg m^{-3}$ . Find the speed with respect to spring with which a wave pulse can proceed on the spring if the elevator accelerates up at the rate of $2.0m{s}^{-2}$ . Take $g=10 m{s}^{-2}$

If a source is transmitting electro-magnetic waves of frequency $8.196\times {10}^{6}Hz$ , then the wavelength of the electro-magnetic waves transmitted from the source will be ...........

Along a stretched wire a transverse wave passes with speed $300 \mathrm{m} {\mathrm{s}}^{-1}$. If the tension in the wire increased four times, then the velocity of the wave is