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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

Options:

Answer:

Solution:

$I_{\max} = I_{1} + I_{2} + 2 \sqrt{I_{1} I_{2}}$

$I_{\min} = I_{1} + I_{2} - 2 \sqrt{I_{1} I_{2}}$

$= {(\sqrt{I_{1}} - \sqrt{I_{2}})}^{2}$

Therefore, $I_{\max} + I_{\min} = (I_{1} + I_{2} + 2 \sqrt{I_{1}} . I_{2}) + (I_{1} + I_{2} - 2 \sqrt{I_{1}} . I_{2})$

$= 2 (I_{1} + I_{2})$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Sound WaveSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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