Question

Two waves having their intensities in the ratio 9:1 produce interference. In the
interference pattern the ratio of maximum to minimum intensity is equal to

Answer 1

Maximum intensity is given by (√i1 + √i2)^2 and minus in between if it is minimum intensity. Hope it helps you.

Answer 2

Hii mate,

◆ Answer-
Imax : Imin = 4 : 1

◆ Explaination-
# Given-
I1/I2 = 9/1

# Solution-
Intensity of the wave is directly proportional to square of amplitude.
I ∝ a^2

I1/I2 = (a1/a2)^2
9/1 = (a1/a2)^2
a1/a2 = 3
a1 = 3a2

Ratio of maximum to minimum intensity by -
Imax / Imin = (a1+a2)^2 / (a1-a2)^2
Imax / Imin = (3a2+a2)^2 / (3a2-a2)^2
Imax / Imin = 4^2 / 2^2
Imax / Imin = 16 / 4
Imax / Imin = 4

Therefore, ratio of maximum to minimum intensity is 4:1.

Hope this helps you..