Q. Statement I Two longitudinal waves given by equation $y_{1}(x,t) = 2a\sin{(\omega t - kx)}$ and $y_{2}(x,t) = a\sin(2\omega t - 2kx)$ will have equal intensity. Statement II Intensity of waves of given frequency in same medium is proportional to square of amplitude only
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
Explanation
(b) Intensity of waves $I = \frac{1}{2}\ p\omega^{2}A^{2}v$
Here p=density of medium
A=amplitude
$\omega$=angular frequency and
v=velocity of wave
Intensity depends upon amplitude, frequency and waves velocity of the wave.
also,$\ I_{1} = I_{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.