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Physics - Sound Wave Question with Solution | TestHub

PhysicsSound WaveMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

Two periodic waves of intensities $I_{1}$ and $I_{2}$ pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is

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Answer:

Solution:

Other factors such as ω and v remaining the same,

$I = A^{2} \times constant K, or A = \sqrt{\frac{I}{K}}$

On superposition

A_max= A₁+ A₂and A_min= A₁– A₂

$∴ A_{max}^{2} = A_{1}^{2} + A_{2}^{2} + 2 A_{1} A_{2} \Rightarrow \frac{I_{max}}{K} = \frac{I_{1}}{K} + \frac{I_{2}}{K} + \frac{2 \sqrt{I_{1} I_{2}}}{K}$

$A_{min}^{2} = A_{1}^{2} + A_{2}^{2} - 2 A_{1} A_{2} \Rightarrow \frac{I_{min}}{K} = \frac{I_{1}}{K} + \frac{I_{2}}{K} - \frac{2 \sqrt{I_{1} I_{2}}}{K}$

$∴ I_{max} + I_{min} = 2 I_{1} + 2 I_{2}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Sound WaveSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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