The length of a sonometer wire tuned to a frequency of $250 Hz$ is $0.60$ metre. The frequency of tuning fork with which the vibrating wire will be in tune when the length is made $0.40$ metre is .... $Hz$
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The path difference between the two waves ${y_1} = {a_1}\sin \,\left( {\omega t - \frac{{2\pi x}}{\lambda }} \right)$ and ${y_2} = {a_2}\cos \,\left( {\omega t - \frac{{2\pi x}}{\lambda } + \phi } \right)$ is
A wave travelling along positive $x-$ axis is given by $y = A\sin (\omega \,t - kx)$. If it is reflected from rigid boundary such that $80\%$ amplitude is reflected, then equation of reflected wave is
A closed organ pipe of length $L$ and an open organ pipe contain gases of densities $\rho_{1}$ and $\rho_{2}$ respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. The length of the open pipe is $\frac{ x }{3} L \sqrt{\frac{\rho_{1}}{\rho_{2}}}$ where $x$ is ......... . (Round off to the Nearest Integer)
The equation of a progressive wave is $y = 0.02\,\sin \,2\pi \left[ {\frac{t}{{0.01}} - \frac{x}{{0.30}}} \right]$ Here $x$ and $y$ are in metre and $t$ is in second. The velocity of propagation of the wave is .... $ms^{-1}$
A sound source $S$ is moving along a straight track with speed $v,$ and is emitting sound of frequency $v_{o}$ (see figure). An observer is standing at a finite clistance, at the point $O$, from the track. The time variation of frequency heard by the observer is best represented by
$\left(t_{0}\right.$ represents the instant when the distance between the source and observer is minimum)
A perfectly elastic uniform string is suspended vertically with its upper end fixed to the ceiling and the lower end loaded with the weight. If a transverse wave is imparted to the lower end of the string, the pulse will
The number of possible natural oscillations of air column in a pipe closed at one end of length $85 \,\,cm$ whose frequencies lie below $1250\,\, Hz$ are (Velocity of sound $= 340 \,\,m s^{-1}$)
The first resonance length of a resonance tube is $40\,\, cm$ and the second resonance length is $122\,\, cm$. The third resonance length of the tube will be... $cm$
A steel rod of length $100\, cm$ is clamped at the middle. The frequency of the fundamental mode for the longitudinal vibrations of the rod is ..... $kHz$ (Speed of sound in steel $= 5\, km\, s^{-1}$)