NEET Physics Electromagnetic Waves Wave Equation MCQs

A wave propagating along a string is described by $y(x,t) = 0.005\sin(80.0x - 3.0t)$, where $x$ and $y$ are in meters and $t$ is in seconds. If the linear mass density of the string is $0.004\ kg/m$, what is the average power transmitted by the wave?

Two waves on a string are described by $y_1(x,t) = A\cos(kx - \omega t)$ and $y_2(x,t) = A\cos(kx + \omega t + \phi)$. For what value of $\phi$ will the resultant wave have an amplitude of $A$?

A standing wave on a string fixed at both ends is described by $y(x,t) = 0.04\sin(2\pi x)\cos(100\pi t)$ (in SI units). The fundamental frequency of the string is:

A wave pulse traveling along a thick rope reaches a discontinuity where the rope becomes thinner and lighter. Which of the following is NOT true about the transmitted and reflected pulses?

A wave traveling in a medium undergoes a change in its speed. Which of the following quantities associated with the wave necessarily remain constant?

The equation of a transverse wave on a string is $y = A\sin(\omega t - kx)$. The maximum transverse speed of a particle on the string is related to the wave speed $v$ by:

The equation of a progressive wave is given by $y = A \sin(\omega t - kx)$. What does $k$ represent?

A wave has a frequency of 50 Hz and a wavelength of 2 m. What is its speed?

Which of the following represents the phase difference between two points on a wave separated by a distance of one wavelength?

In the wave equation $y = A \sin(\omega t - kx)$, what does $\omega$ represent?