In the Young's double slit experiment, the central maxima is observed to be lo. If one of the slits is covered, then the intensity at the central maxima will become :

Options

A. ` (I_0)/(2)`
B. ` (I_0)/(sqrt2)`
C. ` (I_0)/(4)`
D. ` I_0`

Answer

C

Explanation

Intensity `I_0 = I_1 +I_2 +2 sqrt(I_1,I_2) `
If ` " " I_1 = I_2 = I ` (Let)
Then ` " " I_0 = 4I`
When one slit is covered then `I_2=0`
` therefore " " I._0 = I`
` " " =(I_0)/(4)`