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 I is false, Statement II is true
B. Statement I is true, Statement II is false
C. Statement I is true, Statement II is true, Statement II is the correct explanation of Statement I
D. Statement I is true, Statement II is true, Statement II is not correct explanation of Statement I

Answer

D

Explanation

As intensity, `l=(1)/(2)p omega^(2)A^(2)v`
Here, density of medium, A = amplitude, ` omega` angular frequency and v = velocity of wave
`therefore`Intensity depend upon amplitude, frequency as well as velocity of wave.
Also, `l_(1)=l_(2)`