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 ______

पर्याय

• 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

∴ ${\displaystyle \frac{{\text{I}}_1}{{\text{I}}_2}={\left(\frac{{\text{A}}_1}{{\text{A}}_2}\right)}^2{\left(\frac{{\text{n}}_1}{{\text{n}}_2}\right)}^2={\left(\frac{\text{A}}{4\text{A}}\right)}^2{\left(\frac{2\text{n}}{\text{n}}\right)}^2=\frac{4}{16}=\frac{1}{4}}$

∴ I₂ = 4I₁