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 $m =$ ..... $kg$
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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 policemen buzz a whistle of frequency $400\ Hz$. A car driver is approaching the policemen. The speed of car is $54\ kmh^{-1}$. The change in frequency experienced by the driver, when driver approaches the policemen and after he crosses the policemen, is ... $Hz$ [Velocity of sound is $350\ ms^{-1}$]
When an engine passes near to a stationary observer then its apparent frequencies occurs in the ratio $5/3$. If the velocity sound is $340 m/s$, than the velocity of engine is .... $m/s$
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 certain string will resonant to several frequencies, the lowest of which is $200 \,cps$. What are the next three higher frequencies to which it resonants?
A tuning fork whose frequency as given by manufacturer is $512 Hz$ is being tested with an accurate oscillator. It is found that the fork produces a beat of $2 Hz$ when oscillator reads $514 Hz$ but produces a beat of $6 Hz$ when oscillator reads $510 Hz$. The actual frequency of fork is ..... $Hz$
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 string is stretched between fixed points separated by $75.0\,\, cm.$ It is observed to have resonant frequencies of $420\,\, Hz$ and $315\,\, Hz$. There are no other resonant frequencies between these two. The lowest resonant frequency for this string is .... $Hz$