Waves

The speed of transverse wave in aluminium wire is $\frac{1}{10}$ times the speed of longitudinal wave in the wire. The stress in the wire is (Young's Modulus of Al=10 ${ }^{10} \mathrm{~Pa}$ )

Resonance is produced between a turning fork and a resonance column tube with upper end open and lower end closed by water surface. If the frequency of the tuning fork is 800 Hz , and first two resonances are observed at lengths $9.75 \math...

The fundamental frequency of sound produced in an open pipe of length $\mathbf{L}_1$ is same as the frequency of the $3^{\text {rd }}$ harmonic of the sound produced in the closed pipe of length $\mathbf{L}_2$ Then the ratio of $\frac{L_1}{...

An open pipe is in second harmonic with frequency $f_1$. One end of the tube is closed and frequency is increased to $f_2$ and it resonates again with nth harmonic. For what value of n , the ratio of $\frac{f_1}{f_2}$ is $\frac{4}{5}$ ?

A string of length \(25 \mathrm{~cm}\) and mass \(10^{-3} \mathrm{~kg}\) is clamped at its ends. The tension in the string is \(2.5 \mathrm{~N}\). The identical wave pulses are generated at one end and at regular interval of time, $$\Delta ...

The number of possible natural oscillations of air column in a pipe closed at one end of length \(85 \mathrm{~cm}\) whose frequencies lie below \(1250 \mathrm{~Hz}\) are (velocity of sound \(=340 \mathrm{~ms}^{-1}\))

A tuning fork of unknown frequency produces 4 beats with tuning fork of frequency \(310 \mathrm{~Hz}\). It gives the same number of beats on filing. The initial frequency of a tuning fork is

Two open organ pipes A and B of length \(22 \mathrm{~cm}\) and \(22.5 \mathrm{~cm}\) respectively produce 2 beats per sec when sounded together. The frequency of the shorter pipe is

A string vibrates with a frequency of \(200 \mathrm{~Hz}\). When its length is doubled and tension is altered, it begins to vibrate with a frequency of \(300 \mathrm{~Hz}\). The ratio of the new tension to the original tension is

A car is moving towards a high cliff. The car driver sounds a horn of frequency \(f\). The reflected sound heard by the driver has a frequency \(2 f\). If \(v\) be the velocity of sound, then the velocity of the car in the same velocity uni...

With what velocity should an observer approach a stationary sound source, so that the apparent frequency of sound should appear double the actual frequency?

The string of length 2 m is fixed at both ends. If the string vibrates in its fourth normal mode with a frequency of 500 Hz, then the waves would travel on it with a velocity of

A source of sound emits sound waves at frequency \(f_0\). It is moving towards an observer with fixed speed \({v_s}\) (\({v_s},v\), where \(v\) is the speed of sound in air.) If the observers were to move towards the source with speed $$v_0...

A bat emitting an ultrasonic wave of frequency 4.5 \(\times\) 104 Hz at speed of 6 m/s between two parallel walls. The two frequencies heard by the bat will be

If frequencies are \((\nu-1)\) and \((\nu+2)\), then find the value of beats.

The displacement of a wave is given by
\(y = 20\cos (\omega t + 4z)\)
The amplitude of the given wave is

A source of sound gives 5 beats per second, when sounded with another source of frequency 100 s\(^{-1}\). The second harmonic of the source, together with a source of frequency 205 s\(^{-1}\) gives 5 beats per second. What is frequency of t...

The equation of a progressive wave can be given by \(y=15\sin(660\pi t-0.02\pi x)\) cm. The frequency of the wave is