If the amplitude of sound is doubled and the frequency reduced to one-fourth, the intensity will …………

Options

A. increases by a factor of 2
B. decrease by a factor of 2
C. decrease by a factor of 4
D. remain unchanged

Answer

C

Explanation

`I prop omega^(2) A^(2)`
`implies (I.)/(I) = ((omega.)/(omega))^(2) ((A.)/(A))^(2) = ((1)/(4))^(2) (2)^(2) = (1)/(4)`