An engine approaches a hill with a constant speed. When it is at a distance of $0.9\, km$, it blows a whistle whose echo is heard by the driver after $5\, seconds$. If the speed of sound in air is $330\, m/s$, then the speed of the engine is .... $m/s$
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Statement$-1:$ Two longitudinal waves given by equations $y _{1}( x , t )=2 a \sin (\omega t - kx )$ and $y _{2}( x , t )= a \sin (2 \omega t -2 kx )$ will have equal intensity.
Statement$-2:$ Intensity of waves of given frequency in same medium is proportional to square of amplitude only.
If at same temperature and pressure, the densities for two diatomic gases are respectively ${d_1}$ and ${d_2}$, then the ratio of velocities of sound in these gases will be
A string $2.0\, m$ long and fixed at its end is driven by a $240\, Hz$ vibrator. The string vibrates in its third harmonic mode. The speed of the wave and its fundamental frequency is
A string is rigidly tied at two ends and its equation of vibration is given by $y = \cos 2\pi \,t\sin \sin \pi x.$ Then minimum length of string is .... $m$
Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose equation is given by $y=\left(10 \cos \pi x \sin \frac{2 \pi t}{T}\right)\, cm$
The amplitude of the particle at $x =\frac{4}{3} \,cm$ will be........ $cm$.
A whistle sends out $256$ waves in a second. If the whistle approaches the observer with velocity $\frac{1}{3}$ of the velocity of sound in air, the number of waves per second the observer will receive
Two sources of sound $S_1$ અને $S_2$ are moving towards and away from a stationary observer with the same speed respectively. Observer detects $3$ beats per second. Find speed of source (approximately). (in $m/s$)
Given, $F 1= F 2=500\, Hz$. speed of air $=330\, m / s$
A source of sound gives five beats per second when sounded with another source of frequency $100\,{s^{ - 1}}$. The second harmonic of the source together with a source of frequency $205\,{s^{ - 1}}$ gives five beats per second. What is the frequency of the source .... ${s^{ - 1}}$