Equation of a plane progressive wave is given by $y = 0.6\, \sin 2\pi \left( {t - \frac{x}{2}} \right)$.On reflection from a denser medium its amplitude becomes $2/3$ of the amplitude of the incident wave. The equation of the reflected wave is :-
$y = 0.6\sin 2\pi \left( {t + \frac{x}{2}} \right)$
$y = -0.4\sin 2\pi \left( {t + \frac{x}{2}} \right)$
$y = 0.4\sin 2\pi \left( {t + \frac{x}{2}} \right)$
$y = - 0.4\sin 2\pi \left( {t - \frac{x}{2}} \right)$
A car sounding its horn at $480\,Hz$ moves towards a high wall at a speed of $20\,m/s$. If the speed of sound is $340\,m/s,$ the frequency of the reflected sound heard by the passenger sitting in the car will be the nearest to ..... $Hz$
A wave $y = a\,\sin \,\left( {\omega t - kx} \right)$ on a string meets with another wave producing a node at $x = 0$. Then the equation of the unknown wave is
Given below are some functions of $x$ and $t$ to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent a travelling wave
A sufficiently long closed organ pipe has a small hole at its bottom. Initially, the pipe is empty. Water is poured into the pipe at a constant rate. The fundamental frequency of the air column in the pipe
Waves of displacement amplitude $A$ and angular frequency $\omega $ travel in air with the same velocity. Which of the following waves has the highest intensity