Question

If the two slits in Young's double slit experiment have width ratio 9 : 1, the ratio of maximum to minimum intensity in the interference pattern is ______.

Options

• 1 : 4

• 4 : 1

• 2 : 1

• 1 : 2

Answer 1

If the two slits in Young's double slit experiment have width ratio 9 : 1, the ratio of maximum to minimum intensity in the interference pattern is 4 : 1.

Explanation:

`"W"_1/"W"_2 = 9/1 = "a"_1^2/"a"_2^2`

`=> "a"_1/"a"_2 = 3/1`

`"I"_1/"I"_2 = (("a"_1 + "a"_2)/("a"_1 - "a"_2))^2`

`= (4/2)^2` = 4