Waves PYQs - Last 10 Years

For sound waves, if the number of nodes for the $5^{\text {th }}$ harmonic of an open-ended pipe is $n$ and that for the $9^{\text {th }}$ harmonic of the same pipe with one of its ends closed is $m$, the ratio $\frac{n}{m}$ is

For a travelling harmonic wave
$y(x, t)=2.0 \cos 2 \pi(10 t-0.0080 x+0.35)$, where $x$ and $y$ are in cm and $t$ in $s$. The phase difference between oscillatory motion of two points separated by a distance of 0.5 m is:

 A pipe open at both ends has a fundamental frequency $f$ in air. The pipe is now dipped vertically in a water drum to half of its length. The fundamental frequency of the air column is now equal to:

The displacement of a travelling wave \(y=C \sin \frac{2 \pi}{\lambda}\) (at \(-x\)) where \(t\) is time, \(x\) is distance and \(\lambda\) is the wavelength, all in S.I. units. Then the frequency of the wave is

The \(4^{\text {th }}\) overtone of a closed organ pipe is same as that of \(3^{\text {rd }}\) overtone of an open pipe. The ratio of the length of the closed pipe to the length of the open pipe is :

The ratio of frequencies of fundamental harmonic produced by an open pipe to that of closed pipe having the same length is

An organ pipe filled with a gas at 27\(^\circ\)C resonates at 400 Hz in its fundamental mode. If it is filled with the same gas at 90\(^\circ\)C, the resonance frequency at the same mode will be

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

In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6 Hz. When tension in B is slightly decreased, the beat frequency of A is 530 Hz, the original freqnency of B will be :

A tuning fork is used to produce resonance in
a glass tube. The length of the air column in
this tube can be adjusted by a variable piston.
At room temperature of 27°C two successive
resonances are produced at 20 cm and 73 cm
of column leng...

The fundamental frequency in an open organ
pipe is equal to the third harmonic of a closed
organ pipe. If the length of the closed organ
pipe is 20 cm, the length of the open organ
pipe is

Two cars moving in opposite directions approach each other with speed of 22 m s\(-\)1 and 16.5 m s\(-\)1 respectively. The driver of the first car blows a horn having a frequency 400 Hz. The frequency heard by the driver of the second car i...

The two nearest harmonics of a tube closed at one end and open at other end are 220 Hz and 260 Hz. What is the fundamental frequency of the system ?