Waves practice · Mixed difficulty

A sonometer wire resonates with frequency $\mathrm{f}_0$ in its fundamental mode. If length of the wire is decreased to the value $0.95 \mathrm{~m}$, the resonating frequency increases by $5 \mathrm{~Hz}$ and if length is increased to the value $1.0 \mathrm{~m}$, the resonating frequency decreases by $5 \mathrm{~Hz}$. Find the length (in $\mathrm{cm}$ ) of the wire for the resonating frequency $f_0$. The speed of the wave in the wire is $382.2 \mathrm{~m} / \mathrm{s}$.

Two similar sonometer wires given fundamental frequencies of $500\,\,Hz$. These have same tensions. By what amount the tension be increased in one wire so that the two wires produce $5\,\,beats/\sec$

When a sound wave travels from water to air, it

$A, B$ and $C$ are three tuning forks. Frequency of $A$ is $350 \mathrm{~Hz}$. Beats produced by $A$ and $B$ are $5 / \mathrm{s}$ and by $B$ and $C$ are $4 / \mathrm{s}$. When a wax is put on $A$ beat frequency between $A$ and $B$ is $2 \mathrm{~Hz}$ and between $A$ and $C$ is $6 \mathrm{~Hz}$. Then, frequency of $B$ and $C$ respectively, are

Sound waves in air always longitudinal because

In a stationary wave all the particles

There are two organ pipes of exactly the same length and material but of different radii. The loss of sound will be

When stationary waves are set up, pick out the correct statement from the following

Doppler effect of sound depends on

The equation of stationary wave along a stretched string is given by $y = 5\,\,\,\sin \frac{{\pi x}}{3}\cos \,\,40\pi t$ where $x$ and $y$ are in cm and $t$ in second. The separation between two adjacent nodes is

A resonance air column of length $20 \mathrm{~cm}$ resonates with a tuning fork of frequency $450 \mathrm{~Hz}$. Ignoring the correction, the velocity of sound in air will be

When a string fixed at its two ends vibrates in 1 loop, 2 loops, 3 loops and 4 loops, the frequencies are in the ratio

Assertion: Sound would travel faster on a hot summer day than on a cold winter day.
Reason: Velocity of sound is directly proportional to the square of absolute temperature.

A plane progressive wave is represented by the equation $y = 0.1\,\,\sin \left( {200\,\pi t - \frac{{20\,\pi x}}{{17}}} \right)$ where $y$ is displacement in $m,t$ in second and $x$ is distance from a fixed origin in meter. The frequency, wavelength and speed of the wave respectively are

Two waves are given by ${y_1} = a\,\,\sin \left( {\omega t - kx} \right)$ and ${y_2} = a\,\,\,\cos \left( {\omega t - kx} \right)$

The phase difference between the two waves is

What is your observation when two sources are emitting sound with frequency $499 \mathrm{~Hz}$ and $501 \mathrm{~Hz}$?

The frequency of a sound wave is $n$ and its velocity is $v$. If the frequency is increased to $4n$, the velocity of the wave will be

The phase velocity $\left( {{v_p}} \right)$ of travelling wave is

The speed of propagation of a wave in a medium is $300 \mathrm{~m} / \mathrm{s}$. The equation of motion of point at $x=0$ is given by $y=0.04 \sin 600 \pi t$ (metre). The displacement of a point $x=75 \mathrm{~cm}$ at $t=0.01 \mathrm{~s}$ is

A person blows into the open end of a long pipe. As a result, a high-pressure pulse of air travels down the pipe. When this pulse reaches the other end of the pipe,

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

The sound carried by air from a sitar to a listener is a wave of the following type

Two transverse sinusoidal waves travel in opposite directions along a string. The speed of transverse waves in the string is $0.5 \mathrm{~cm} \mathrm{~s}^{-1}$. Each has an amplitude of $3.0 \mathrm{~cm}$ and wavelength of $6.0 \mathrm{~cm}$. The equation for the resultant wave is

Assertion (A) : If we see the oscillations of a stretched wire at higher overtone mode, frequency of oscillation increases but wavelength decreases.

Reason (R) : From $v=f \lambda, \lambda \propto \frac{1}{f}$ as $v=$ constant.

The relation between frequency $n$, wavelength $\lambda$ and velocity $v$ of propagation of wave is

Sound travels in rocks in the form of:

Two tuning forks of frequency 250 Hz and 256 Hz produce beats. Then beat frequency is

When a wave travelling from one medium is
refracted into other medium, which of the
following will not change?

A listener is at rest with respect to the source of sound. A wind start blowing along the line joining the source and the observer. Which of the following quantities do not change?

Two periodic waves of amplitudes $a$ and $b$ pass through a region at the same time in the same direction. If $a > b$, the difference in the maximum and minimum possible amplitudes is