The speed of soun in a gas is v and the root mean squre speed of gas molecules is `v_(rms)`. If the ratio of the specific heats of the gas is 1.8, the

Question

The speed of soun in a gas is v and the root mean squre speed of gas molecules is `v_(rms)`. If the ratio of the specific heats of the gas is 1.8, the

The speed of soun in a gas is v and the root mean squre speed of gas molecules is `v_(rms)`. If the ratio of the specific heats of the gas is 1.8, then the ratio `v//v_(rms)` is
A. `1 : 2`
B. `0.77 : 1`
C. `1 : sqrt3`
D. `1 : 3`

Monjur Alahi

6 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - B
The time of fall of the plate is calculated by using second kinematical equation of motion,
`s = (1)/(2) "gt"^(2)`
`:. t = sqrt((2s)/(g)) = sqrt((2 xx 0.1)/(9.8)) = (1)/(sqrt49) = (1)/(7)`
In time `t = (1)/(7)` s tuning fork complete 8 oscillations
`:.` In 1s number oscillations completed are,
`(1 xx 8)/((1)/(7)) = 7 xx 8 = 56 Hz`