Waves

Interference pattern can be observed due to superposition of the following waves :
A. \(y=a\sin \omega t\)

B. \(y=a\sin 2\omega t\)

C. \(y=a\sin (\omega t-ϕ)\)

D. \(y=\mathrm{asin}3\omega \mathrm{t}\)

Choose the correct answer from the options given

[Re-NEET 2024]

For a travelling harmonic wave \(\mathrm{y}(\mathrm{x},\mathrm{t})=2.0\cos 2\pi (10\mathrm{t}-0.0080\mathrm{x}+0.35)\), 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 :

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

[Re-NEET 2024]

For a solid rod, the Young's modulus of elasticity is \(3.2 \times 10^{11} \mathrm{Nm}^{-2}\) and density is \(8 \times 10^{3} \mathrm{~kg} \mathrm{~m}^{-3}\). The velocity of longitudinal wave in the rod will be:

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

[NEET 2023]

Two vibrating tuning forks produce waves given by \( y_{1}=4 \sin 500 \pi t \) and \( y_{2}=2 \sin 506 \pi t \). Number of beats produced per minute is

Two coherent light sources having intensity in the ratio \(\ 2 x\) produce an interference pattern. The ratio \(\ \frac{I_{\max }-I_{\min }}{I_{\max }+I_{\min }}\) will be:

Three harmonic waves having equal frequency and same intensity \( \mathrm{l}_{0} \), have phase angles \( 0, \frac{\pi}{4} \) and \( -\frac{\pi}{4} \) respectively. When they are superimposed the intensity of the resultant wave is close to :

The length of the string of a musical instrument is \( 90 \mathrm{~cm} \) and has a fundamental frequency of \( 120 \mathrm{~Hz} \). Where should it be pressed to produce fundamental frequency of \( 180 \mathrm{~Hz} \) ?

[Re-NEET 2020]

A transverse wave travels on a taut steel wire with a velocity of \(v\) when tension in it is \(2.06 \times 10^4 N\). When the tension is changed to \(T\), the velocity changed to \(v / 2\). The value of \(T\) is close to:

A sound wave of frequency 245 \(\mathrm{~Hz}\) travels with the speed of 300 \(\mathrm{~m} / \mathrm{s}\) along the positive \(x\) - axis. Each point of the wave moves to and fro through a total distance of 6 \(\mathrm{~cm}\). What will be the mathematical expression of this travelling wave?