The stationary wave $y = 2a{\mkern 1mu} \,\,sin\,\,{\mkern 1mu} kx{\mkern 1mu} \,\,cos{\mkern 1mu} \,\omega t$ in a stretched string is the result of superposition of $y_1 = a\,sin\,(kx -\omega t)$ and
${y_2}\, = \,a\,\cos \,\left( {kx\, + \,\omega t} \right)$
${y_2}\, = \,a\,\sin \,\left( {kx\, + \,\omega t} \right)$
${y_2}\, = \,a\,\cos \,\left( {kx\, - \,\omega t} \right)$
${y_2}\, = \,a\,\sin \,\left( {kx\, - \,\omega t} \right)$
A point source emits sound equally in all directions in a non-absorbing medium. Two points $P$ and $Q$ are at a distance of $9\ meters$ and $25\ meters$ respectively from the source. The ratio of the amplitudes of the waves at $P$ and $Q$ is
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
A man is watching two trains, one leaving and the other coming with equal speed of $4\,m/s$ . If they sound their whistles each of frequency $240\, Hz$ , the number of beats per sec heard by man will be equal to: (velocity of sound in air $= 320\, m/s$ )
Two pipes are each $50\,cm$ in length. One of them is closed at one end while the other is both ends. The speed of sound in air is $340\,ms^{-1}.$ The frequency at which both the pipes can resonate is
The equation of a stationary wave is $Y = 10\,\sin \,\frac{{\pi x}}{4}\,\cos \,20\,\pi t$. The distance between two consecutive nodes in metres is