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In Melde's experiment, the string vibrates in $4$ loops when a $50 \,gram$ weight is placed in the pan of weight $15\, gram.$ To make the string to vibrates in $6$ loops the weight that has to be removed from the pan is
The vibration of a string fixed at both ends are described by $Y= 2 \,\,sin(\pi x) \,\,sin\,\,(100\pi t)$ where $Y$ is in $mm$,$x$ is in $cm$,$t$ in $sec$ then
A submarine $(A)$ travelling at $18\, km/hr$ is being chased along the line of its velocity by another submarine $(B)$ travelling at $27\, km/hr$. $B$ sends a sonar signal of $500\, Hz$ to detect $A$ and receives a reflected sound of frequency $v$. The value of $v$ is close to ... $Hz$ (Speed of sound in water $= 1500\, ms^{-1}$)
A tuning fork of frequency $100$ when sounded together with another tuning fork of unknown frequency produces $2$ beats per second. On loading the tuning fork whose frequency is not known and sounded together with a tuning fork of frequency $100$ produces one beat, then the frequency of the other tuning fork is
A source of sound of frequency $n$ is moving towards a stationary observer with a speed $S.$ If the speed of sound in air is $V$ and the frequency heard by the observer is ${n_1}$, the value of ${n_1}/n$ is
The phase difference between two points separated by $0.8 m$ in a wave of frequency is $120 Hz$ is $\frac{\pi }{2}.$ The velocity of wave is ..... $m/s$