Sound WavesHardBloom L3

Question

A is singing a note and at the same time B is also singing a note with 1/8th the frequency of A. The energies of the two sounds are equal. The displacement amplitude of the note of B is:

Options

A.same as that of A
B.twice that of A
C.four times that of A
D.eight times that of A

Solution

Sol. IA = IB

⇒ (AAωA)2 = (ABωB)2

⇒ AAωA = $A_{B}\frac{\omega_{A}}{8}$

⇒ AB = 8 AA

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