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Statement - 1 : Two longitudinal wave...

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

A

Satement-I is true, statement -II is false.

B

Statement -I is true, Statement -II is true, Statement -II is the correct explanation of Statement -I.

C

Statement -I is true, Statement -II is true, Statement -II is not the correct explanation of Statement -I.

D

Statement-I is false, Statement-II is true.

Text Solution

Verified by Experts

The correct Answer is:
A
Since, `I prop A^(2) omega^(2) `
`I_(1) prop (2a)^(2) omega^(2) `
`I_(2) prop a^(2) (2omega)^(2) `
`I_(1) = I_(2) `
Intensity depends on frequency also.
so , correct choice is a.
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