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A tuning fork vibrating with a sonometer having $20\,cm$ wire produces $5$ beats per sec. The beat frequency does not change if the length of the wire is changed to $21\,cm$. The frequency of the tuning fork must be ..... $Hz$
The frequency of echo will be $.......Hz$ if the train blowing a whistle of frequency $320\,Hz$ is moving with a velocity of $36\,km / h$ towards a hill from which an echo is heard by the train driver. Velocity of sound in air is $330\,m / s$.
A train is moving with a constant speed along a large circular track. The engine of the train emits a sound of frequency $f$ . The frequency heard by the guard at rear end of the train
The frequencies of two sound sources are $256 Hz$ and $260 Hz$. At $t = 0,$ the intensity of sound is maximum. Then the phase difference at the time $t = \frac{1}{16}\, sec$ will be
A transverse harmonic wave on a string is described by $y = 3 \sin \,(36t + 0.018x + \frac{\pi}{4})$ where $x$ and $y$ are in $cm$ and $t$ in $s$. The least distance between two sucessive crests in the wave is .... $m$
A wire of $9.8 \times {10^{ - 3}}kg{m^{ - 1}}$ passes over a frictionless light pulley fixed on the top of a frictionless inclined plane which makes an angle of $30°$ with the horizontal. Masses $m$ and $M$ are tied at the two ends of wire such that $m$ rests on the plane and $M$ hangs freely vertically downwards. The entire system is in equilibrium and a transverse wave propagates along the wire with a velocity of $100 ms^{-1}$. Chose the correct option $m =$ ..... $kg$
A string is stretched so that its length is increased by $\frac{1}{\eta }$ of its original length. The ratio of fundamental frequency of transverse vibration to that of fundamental frequency of longitudinal vibration will be
A bus is moving with a velocity of $5 m/s$ towards a huge wall. the driver sounds a horn of frequency $165 Hz.$ If the speed of sound in air is $355 m/s,$ the number of beats heard per second by a passenger on the bus will be
Two waves are propagating along a taut string that coincides with the $x-$axis. The first wave has the wave function $y_1 = A cos [k(x - vt)]$ and the second has the wave function $y = A cos [k(x + vt) + \phi ]$.
A closed organ pipe and an open pipe of same length produce $4$ beats when they are set into vibrations simultaneously. If the length of each of them were twice their initial lengths, the number of beats produced will be