Question

An aluminium rod having a length of $90.0 \mathrm{~cm}$ is clamped at its middle point and is set into longitudinal vibrations by stroking it with a rosined cloth. Assume that the rod vibrates in its fundamental mode of vibration. The density of aluminium is $2600 \mathrm{~kg} \mathrm{~m}^{-3}$ and its Young's modulus is $7.80 	imes 10^{10} \mathrm{~N} \mathrm{~m}^{-2}$. Find (a) the speed of sound in aluminium, (b) the wavelength of sound waves produced in the rod, (c) the frequency of the sound produced and (d) the wavelength of the sound produced in air. Take the speed of sound in air to be $340 \mathrm{~ms}^{-1}$.

Accepted Answer

$5480 \mathrm{~ms}^{-1};\,180\mathrm{~cm};\,3050 \mathrm{~Hz};\,11.1 \mathrm{~cm}$

Answer

$5380 \mathrm{~ms}^{-1};\,150\mathrm{~cm};\,3250 \mathrm{~Hz};\,12.1 \mathrm{~cm}$

Answer

$5410 \mathrm{~ms}^{-1};\,160\mathrm{~cm};\,3150 \mathrm{~Hz};\,10.1 \mathrm{~cm}$

Answer

$5450 \mathrm{~ms}^{-1};\,170\mathrm{~cm};\,3550 \mathrm{~Hz};\,17.1 \mathrm{~cm}$

JEE PHYSICS MCQ: WAVES

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