List of top Physics Questions on Waves

The equation of a stationary wave along a stretched string is given by \[ y = 5 \sin \left( \frac{\pi x}{3} \right) \cos (40 \pi t) \] Additional Information Here, \(x\) and \(y\) are in cm and \(t\) in seconds. The separation between two adjacent nodes is:

How much time does a particle at \( x = C \) take to go from the mean position to the extreme (maximum displacement) for the first time?

A particle on a string undergoes a transverse wave motion given by: \[ y = 5 \sin \left( 4 \pi t - \frac{\pi x}{2} \right) \] (All quantities in SI units.) How much time does a particle at \( x = 0 \) take to go from mean position to extreme (maximum displacement) for the first time?

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

The speed of a wave is \( 30 \, \mathrm{m/s} \). If the distance between 11 crests is \( 1 \, \mathrm{m} \), what is the frequency (in Hz)?

Two bodies of mass 4 g and 25 g are moving with equal kinetic energies. The ratio of magnitude of their linear momentum is:

The refractive index \( \mu \) of the material of a prism is given by: % Formula for Refractive Index \[ \mu = \frac{\sin \left( \frac{A + \delta_m}{2} \right)}{\sin \left( \frac{A}{2} \right)} \] where \( A \) is the apex angle of the prism and \( \delta_m \) is the angle of minimum deviation.

At what temperature should a gold ring of diameter 6.230 cm be heated so that it can be fitted on a wooden bangle of diameter 6.241 cm? Both the diameters have been measured at room temperature (27 °C).
Given: Coefficient of linear thermal expansion of gold \( \alpha = 1.4 \times 10^{-5} \, \text{K}^{-1} \).