Question

In Young's double slit experiment shown in figure S₁ and S₂ are coherent sources and S is the screen having a hole at a point 1.0 mm away from the central line. White light (400 to 700 nm) is sent through the slits. Which wavelength passing through the hole has strong intensity?

Options

• 400 nm

• 700 nm

• 500 nm

• 667 nm

Answer 1

500 nm

Explanation:

Wavelength for which the maximum obtained at the hole has the maximum intensity on passing. So,

x = `("n"λ"D")/"d"`

λ = `"xd"/"nD"`

= `(1 xx 10^-3 xx 0.5 xx 10^-3)/("n" xx 50 xx 10^-2)`

= `(1 xx 10^-6)/"n"`

= `(1000  "nm")/"n"`

n = 1, λ = 1000 nm → Not in the given range

n = 2, λ = 500 nm