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An aluminium rod having a length $100 \,cm$ is clamped at its middle point and set into longitudinal vibrations. Let the rod vibrate in its fundamental mode. The density of aluminium is $2600 \,kg / m ^3$ and its Young's modulus is $7.8 \times 10^{10} \,N / m ^2$. The frequency of the sound produced is .............. $Hz$
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 ........... $m / s$
A hospital uses an ultrasonic scanner to locate tumours in a tissue. What is the wavelength of sound in the tissue in which the speed of sound is $1.7\; km s ^{-1}$ ? The operating frequency of the scanner is $4.2 \;MHz$
A closed organ pipe $150 \mathrm{~cm}$ long gives $7$ beats per second with an open organ pipe of length $350 \mathrm{~cm}$, both vibrating in fundamental mode. The velocity of sound is_________ $\mathrm{m} / \mathrm{s}$.
Fundamental frequency of an open pipe of length $0.5 m$ is equal to the frequency of the first overtone of a closed pipe of length $l$. The value of $l_c$ is $(m)$
Two closed organ pipes of length $100 \,cm$ and $101 \,cm$ $16$ beats in $20\, sec$. When each pipe is sounded in its fundamental mode calculate the velocity of sound .... $ms^{-1}$