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
$y = 0.6\sin 2\pi \left( {t + \frac{x}{2}} \right)$
$y = - 0.4\sin 2\pi \left( {t + \frac{x}{2}} \right)$
$y = 0.4\sin 2\pi \left( {t + \frac{x}{2}} \right)$
$y =-0.4\sin 2\pi \left( {t - \frac{x}{2}} \right)$
The transverse displacement of a string (clamped at its both ends) is given by $y(x,t) = 0.06$ $sin\, (2\pi x /3)\, cos\, (120\, \pi t)$. All the points on the string between two consecutive nodes vibrate with
A heavy rope is suspended from a rigid support. A transverse wave pulse is set up at the lower end, then
A whistle ' $S$ ' of frequency $f$ revolves in a circle of radius $R$ at a constant speed $v$. What is the ratio of maximum and minimum frequency detected by a detector $D$ at rest at a distance $2 R$ from the center of circle as shown in figure? (take ' $c$ ' as speed of sound)
An engine approaches a hill with a constant speed. When it is at a distance of $0.9 km$ it blows a whistle, whose echo is heard by the driver after $5$ sec. If speed of sound in air is $330 m/s$, the speed of engine is .... $m/s$
A whistle revolves in a circle with an angular speed of $20\, rad/s$ using a string of length $50\, cm$. If the frequency of sound from the whistle is $385\, Hz$, then what is the minimum frequency heard by an observer, which is far away from the centre in the same plane ..... $Hz$ (speed of sound is $340\, m/s$)