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A Kundt's tube apparatus has a steel rod...

A Kundt's tube apparatus has a steel rod of length 1.0 m 66. clamped at the centre. It is vibrated in its fundamental mode at a frequency of 2600 Hz. The lycopodium powder dispersed in the tube collects into heaps separated by 6.5 cm. Calculate the speed of sound in steel and in air.

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The correct Answer is:
A, B, C
a. Here given `L=10/2=0.5m`
`d_3=6.5cm=6.5xx10^-2m`
As Kudnit's the Appartus is closed organ pipe its fundamental frequency
`rarr n=10/2
`rarr `V_r=2600x4xx0.5`
`r=5200m/s`
b. `V_r/V_a=(2L_r)/d_a`
`rarr V_a=(52xx6.5xx10^-2)/(2xx0.5)`
=338m/s`
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