If the amplitude of sound is doubled and the frequency reduced to one fourth, the intensity of sound at the same point will be (a) increasing by a factor of 2 (b) decreasing by a factor of 2 (c) decreasing by a factor of 4 (d) unchanged

Answer: (c). Intensity I ∝ A² n². I'/I = (2)² × (1/4)² = 4 × 1/16 = 1/4 So the answer is (c) decreasing by a factor of 4.

If the amplitude of sound is doubled and the frequency reduced to one… | NEET 1989 (AIPMT)

Q43NEET 1989 · AIPMTMedium

Wave Basics & Properties of Sound

If the amplitude of sound is doubled and the frequency reduced to one fourth, the intensity of sound at the same point will be

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Answer: (c)

Intensity $I \propto A^2 n^2$ .
$\frac{I'}{I} = (2)^2 \times \left(\frac{1}{4}\right)^2 = 4 \times \frac{1}{16} = \frac{1}{4}$
So the answer is (c) decreasing by a factor of 4.

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