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
${y_2}\, = \,a\,\cos \,\left( {kx\, + \,\omega t} \right)$
${y_2}\, = \,a\,\sin \,\left( {kx\, + \,\omega t} \right)$
${y_2}\, = \,a\,\cos \,\left( {kx\, - \,\omega t} \right)$
${y_2}\, = \,a\,\sin \,\left( {kx\, - \,\omega t} \right)$
During propagation of a plane progressive mechanical wave incorrect statement is
A uniform string suspended vertically. A transverse pulse is created at the top most of the string. Then
Two monoatomic ideal gases $1$ and $2$ of molecular masses $M_1$ and $M_2$ respectively are enclosed in separate containers kept a the same temperature. The ratio of the speed of sound in gas $1$ to that in gas $2$ is
Two tuning forks having frequency $256\, Hz \,(A)$ and $262\, Hz \,(B)$ tuning fork. $A$ produces some beats per second with unknown tuning fork, same unknown tuning fork produce double beats per second from $B$ tuning fork then the frequency of unknown tuning fork is :- ............ $\mathrm{Hz}$
A closed organ pipe has length $L$ , the air in it is vibrating in third overtone with maximum amplitude $'a'$ . The amplitude at distance $\frac {L}{7}$ from closed end of the pipe is