The maximum intensity in case of interference of n identical waves, each of intensity , if the interference is (i) coherent and (ii) incoherent respectively are

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

n2I0,nI0

nI0,n2I0

nI0,I0

n2I0,n−1I0

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

In a case of interference of two wave I=I1+I2+2I1I2cosϕ (i) In case of coherent interference, ϕ does not vary with time and so I will be maximum when cosϕ is max i.e., cosϕ=1 Imaxco=I1+I2+2I1I2=I1+I22 so for n identical waves each of intensity I0 Imaxco=I0+I0+.....2=nI02=n2I0 (ii) In case of incoherent interference at a given point, ϕ varies randomly with time, so cosϕavg=0 and hence IavgInco=I1+I2 So in case of n identical waves IavgInco=I0+I0+..............=nI0

Watch 3-min video & get full concept clarity