First slide

Travelling wave

Question

A is singing a note and at the same time B is singing a note with exactly one-eighth the frequency of the note of A. The energies of two sounds are equal, the amplitude of the note of B is

Moderate

A

Same that of A
B

Twice as that of A
C

Four times as that of A
D

Eight times as that of A

Solution

Energy $\propto a^{2} n^{2} \Rightarrow \frac{a_{B}}{a_{A}} = \frac{n_{A}}{n_{B}}$ ( $∵$ energy is same)
$\Rightarrow \frac{a_{B}}{a_{A}} = \frac{8}{1}$

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