# A is singing a note and at the same time B is singing a note with exactly one-eight frequency of the note of A. The energies of two sounds are equal, the amplitude of the note of B is  Option 1) Same that of A Option 2) Twice as that of A Option 3) Four times as that of A Option 4) Eight times as that of A

D Divya Saini

$Energy \alpha a^{2} n ^{2} \Rightarrow \frac{a_{B}}{a_{A}} = \frac{n_{A}}{n_{B}} \Rightarrow \frac{a_{B}}{a_{A}} = \frac{8}{1}$

[$\because$ energy is same ]

Pitch -

The brain interprets frequency primarily in terms of a subjective quantity called pitch. Pitch is related to frequency. Higher is frequency higher is pitch.

- wherein

A pure note of high frequency is interpreted as high - pitched sound and a pure note of low frequency as low pitched sound.

Option 1)

Same that of A

This is incorrect.

Option 2)

Twice as that of A

This is incorrect.

Option 3)

Four times as that of A

This is incorrect.

Option 4)

Eight times as that of A

This is correct.

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