Question

2. The ratio of loudness of two sound waves A and B is 2:3. If the amplitude of sound Ais doubled and amplitude of sound B is halved. Then the ratio of new loudness of sound A and B is $\frac{16}{3}$$\frac{32}{3}$$\frac{2}{3}$$\frac{8}{3}$​

Answer 1

Explanation:

Loudness of sound is directly proportional to the square of amplitude i.e.,

Loudness (L)∝a2

Ratio of Loudness =L2L1=a22a12=(4)2(3)2=169=9:16

(ii) Change in amplitude of a sound does not affect its frequency.

∴ Ratio of frequencies remains same =1:1