• 2015 JEE Mains Paper 1: Q.14.

In a double slit experiment, the distance between the slits is d and wavelength of light used is . If the angular separation between the first minima on either side of the central maximum is , the value of d is:

Answer:

d = 2 * lambda * L / a

Explanation:

The angular separation between the first minima on either side of the central maximum is given by:

sin theta = lambda / a

where,

  • lambda is the wavelength of light used
  • a is the distance between the slits
  • theta is the angular separation between the first minima on either side of the central maximum

Substituting the given values, we get:

sin theta = 1 / 2 * 3.0 * 10^-7 * 2.0 * 10^-2 / 2 * 10^-5 = 1.5 * 10^-3

Therefore, the distance between the slit