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. Statement-1 is flase, statement-2 is true
B. Statement-1 is true, Statement-2 is false
C. Statement-1 is true, Statement-2 true , Statement-2 is the correct axplanation of statement-1
D. Statement-1 is true, Statement-2 is true , Statement-2 is not correct explanation of Statement-1.

Answer

B

Explanation

`y_(1)(x,t)=2a sin (wt-kx)`
`y_(2)(x,t)=a sin(2wt-2kx)`
`I=2pi^(2)n^(2)a^(2)rhovrArr(I_(1))/(I_(2))=((2a)/(a)xx(n)/(2n))^(2)=(1)/(1)`
Intensity depends on frequency and amplitude
So statememt-1 is true statement-2 is false.