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 :-
$y = 0.6\sin 2\pi \left( {t + \frac{x}{2}} \right)$
$y = -0.4\sin 2\pi \left( {t + \frac{x}{2}} \right)$
$y = 0.4\sin 2\pi \left( {t + \frac{x}{2}} \right)$
$y = - 0.4\sin 2\pi \left( {t - \frac{x}{2}} \right)$
Fundamental frequency of a sonometer wire is $n$ . If the length and diameter of the wire are doubled keeping the tension same, then the new fundamental frequency is
When a tuning fork is vibrating, the vibrations of the two prongs
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
A man fires a bullet standing between two cliffs. First echo is heard after $3\, seconds$ and second echo is heard after $5\, seconds$. If the velocity of sound is $330\,m/s$, then the distance between the cliffs is .... $m$
The displacement of an elastic wave is given by the function : $y = 3\, sin\,\omega t + 4\, cos\,\omega t$ where $y$ is in $cm$ and $t$ is in $s$. The resultant amplitude is ...... $cm$