Question

The amplitude of the sound is quadrupled and the frequency is reduced to half. The intensity of sound at the same point will be ______

Options

• increased to double.

• increased to four times.

• decreased to half.

• decreased to one-fourth.

Answer 1

The amplitude of the sound is quadrupled and the frequency is reduced to half. The intensity of sound at the same point will be increased four times.

Explanation:

I ∝ A² n²

∴ `"I"_1/"I"_2 = ("A"_1/"A"_2)^2 ("n"_1/"n"_2)^2 = ("A"/(4"A"))^2 ((2"n")/"n")^2 = 4/16 = 1/4`

∴ I₂ = 4I₁