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A closed pipe of length $300 \,cm$ contains some sand. A speaker is connected at one of its ends. The frequency of the speaker at which the sand will arrange itself in $20$ equidistant piles is close to .......... $kHz$ (velocity of sound is $300 \,m / s )$
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. Then, the lowest resonant frequency for this string is .... $Hz$
A taut string at both ends vibrates in its $n^{th}$ overtone. The distance between adjacent Node and Antinode is found to be $'d'$. If the length of the string is $L,$ then
A rope of length $L$ and uniform linear density is hanging from the ceiling. A transverse wave pulse, generated close to the free end of the rope, travels upwards through the rope. Select the correct option.
A stationary wave is represented by $y=A \sin (100 t) \cos (0.01 x)$, where $y$ and $A$ are in millimetres, $t$ is in second and $x$ is in metre. The velocity of the constituent wave is ........... $m / s$
Equation of motion in the same direction is given by ${y_1} = A\sin (\omega t - kx)$, ${y_2} = A\sin (\omega t - kx - \theta )$. The amplitude of the medium particle will be
$A$ steel wire is used to stretch a spring. An oscillating magnetic field drives the steel wire up and down. $A$ standing wave with three antinodes is created when the spring is stretched by $4.0\, cm$. What stretch of the spring produces a standing wave with two antinodes with same frequency ... $cm$ ?