Waves and Sound

A uniform rope of length $L$ and mass $m_{1}$, hangs vertically from a rigid support. A block of mass $m_{2}$ is attached to the free end of the rope. A transverse pulse of wavelength $\lambda\,_{1}$ is produced at the…

A speeding motorcyclist sees traffic jam ahead of him. He slows down to $36km/hour.$ He finds that traffic has eased and a car moving ahead of him at $18km/hour$ is honking at a frequency of $1392Hz.$ If the speed of…

If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is:

A bat moving at $10ms^{-1}$ towards a wall sends a sound signal of $8000\text{Hz}$ towards it. On reflection, it hears a sound of frequency $f$. The value of $f$ in $\text{Hz}$ is close to $(\text{speed of…

The equation of wave is given by$Y=10^{-2}\sin\,2\pi\,\left(160t-0.5x+\frac{\pi\,}{4}\right)$, where $x$ and $Y$ are in $m$ and $t$ in $s$. The speed of the wave is _______$\mathrm{km}h^{-1}$?

The displacement equations of two interfering waves are given…

In a closed organ pipe, the frequency of fundamental note is $30\mathrm{Hz}$. A certain amount of water is now poured in the organ pipe so that the fundamental frequency is increased to $110\mathrm{Hz}$. If the organ…

Two waves are simultaneously passing through a string and their equations are : $y_{1}=A_{1}\sin\,k(x-vt),y_{2}=A_{2}\sin\,k\left(x-vt+x_{0}\right).$ Given amplitudes $A_{1}=12\mathrm{mm}$ and $A_{2}=5\mathrm{mm}$,…

A person driving car at a constant speed of $15ms^{-1}$ is approaching a vertical wall. The person notices a change of $40\mathrm{Hz}$ in the frequency of his car's horn upon reflection from the wall. The frequency of…

The distance between two consecutive points with phase difference of $60^{\circ}$ in a wave of frequency $500\mathrm{Hz}$ is $6.0m$. The velocity with which wave is travelling is ______$\mathrm{km}s^{-1}$?

Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose equation is given…

An organ pipe $40\mathrm{cm}$ long is open at both ends. The speed of sound in air is $360ms^{-1}$. The frequency of the second harmonic is _$________\mathrm{Hz}.$