In a double slit experiment instead of taking slits of equal widths, one slit is made twice as wide as the other. Then, in the interference pattern

Options

A. the intensities of both the maxima and the minima increases
B. the intensity of maxima increases and the minima has zero intensity
C. the intensity of the maxima decreases and that of minima increases
D. the intensity of the maxima decreases and the minima has zero intensity

Answer

a

Explanation

When slits are of equal width:
`I_(max) prop (a + a)^(2) (= 4 a^(2))`
`I_(min) prop (a - a)^(2) (=0)`
When one slit's width is twice that of the other :
`(I_(1))/(I_(2)) = (omega_(1))/(omega_(2)) = (a^(2))/(b^(2)) implies (omega)/(2 omega) = (a^(2))/(b^(2)) implies b = sqrt 2a`
`:. I_(max) prop (a + sqrt 2a)^(2) (= 5.8a^(@))`
`I_(min) prop (sqrt 2a - a^(2)) (= 0.17 a^(2))`