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A glass tube $1.5 m$ long and open at both ends, is immersed vertically in a water tank completely. A tuning fork of $660 Hz$ is vibrated and kept at the upper end of the tube and the tube is gradually raised out of water. The total number of resonances heard before the tube comes out of water, taking velocity of sound air $330 m/sec$ is
A police car with a siren of frequency $8$ $kHz$ is moving with uniform velocity $36$ $km/hr$ towards a tall building which reflects the sound waves. The speed of sound in air is $320$ $m/s$. The frequency of the siren heard by the car driver is .... $kHz$
$25$ tunning forks are arranged in series in the order of decreasing frequency. Any two successive forks produce $3\, beats/sec.$ If the frequency of the first turning fork is the octave of the last fork, then the frequency of the $21^{st}$ fork is .... $Hz$
Two vibrating tuning forks produce progressive waves given by $Y_1 = 4\, sin\, 500\pi t$ and $Y_2 = 2\, sin\, 506\, \pi t$ Number of beats produced per minute is
The average density of Earth’s crust $10\ km$ beneath the surface is $2.7\ gm/cm^3$ . The speed of longitudinal seismic waves at that depth is $5.4\ km/s$ . The bulk modulus of Earth’s crust considering its behaviour as fluid at that depth is
A wave disturbance in a medium is described by $y(x,\,t) = 0.02\cos \,\left( {50\,\pi t + \frac{\pi }{2}} \right)\cos (10\pi x)$, where $ x$ and $y$ are in metres and $t$ in seconds
Two identical harmonic pulses travelling in opposite directions in a taut string approach each other. At the instant when they completely overlap, the total energy of the string will be
A wave travels on a light string.The equation of the wave is $Y = A \,\sin \,(kx - \omega t + 30^o)$.It is reflected from a heavy string tied to an end of the light string at $x = 0$. If $64\%$ of the incident energy is reflected the equation of the reflected wave is