The pressure variation equation of a sound wave propagating in a medium with pressure amplitude P 0 is P - P 0sin- t - x - v Inference-will be - P 0 atm as maximum - minimum values of sin- is -1 -1-A- Both Statement and Inference are wrongB- Both Statement and Inference are correctC- Statement is correct- Inference is wrongD- Statement is wrong- Inference is correct

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Byju's Answer

Standard XII

Physics

Pressure Wave vs Displacement Wave

The pressure ...

Question

The pressure variation equation of a sound wave propagating in a medium with pressure amplitude $P_{0}$ is

$P = P_{0} s i n ω (t - \frac{x}{v})$

Inference:

In the tube where this wave is propagating if we measure pressure, then the maximum pressure measured will be _{$P_{0}$}atm and Minimum pressure measured will be _{$- P_{0}$}atm as maximum $&$ minimum values of sin $θ$ is (+1/-1).

Statement is correct, Inference is wrong

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Statement is wrong, Inference is correct

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Both Statement and Inference are correct

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Both Statement and Inference are wrong

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Solution

The correct option is A
Statement is correct, Inference is wrong

Statement is correct but inference is wrong, because the pressure amplitudes do not represent absolute pressure it just gives pressure differences. $- P_{0}$ cannot be measured what will be measured will be $P_{a t m o s p h e r e} - P_{0}$

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Similar questions

The pressure variation equation of a sound wave propagating in a medium with pressure amplitude $P_{0}$ is

$P = P_{0} s i n ω (t - \frac{x}{v})$

Inference:

In the tube where this wave is propagating if we measure pressure, then the maximum pressure measured will be _{$P_{0}$}atm and Minimum pressure measured will be _{$- P_{0}$}atm as maximum $&$ minimum values of sin $θ$ is (+1/-1).

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The correct option is A Statement is correct, Inference is wrong Statement is correct but inference is wrong, because the pressure amplitudes do not represent absolute pressure it just gives pressure differences. −P0 cannot be measured what will be measured will be Patmosphere−P0