Statement-1`:` Two longitudinal waves given by equation `y_(1)(x,t)=2asin(omegat-kx)`
and `y_(2)(x,t)=a sin (2 omegat-2kx)`
will have equal intensity.
Statement-2 `:` Intensity of waves of given frequency in same medium is proportional to square of amplitude only.

Options

A. Assertion is correct, reason is correct, reason is a correct explanation for assertion.
B. Assertion is correct, reason is correct, reason is not a correct explanation for assertion
C. Assertion is correct, reason is incorrect
D. Assertion is incorrect, reason is correct

Answer

B

Explanation

intensity , `I = (1)/(2) rho omega^(2)A^(2) v`
` therefore ` Intensity depend upon amplitude , frequnecy as well as veclcity of wave
Also `I_(1) = I_(2)`