Find the angular separation between the consecutive bright fringes in a Young’s double slit experiment with the blue-green light of wavelength 500 nm. The separation between the slits is 2.0 × 10^-3 m.

In a Young’s double slit experiment, the angular separation between consecutive bright fringes can be calculated using the formula:

Formula for Angular Separation

The angular separation (θ) is given by:

θ = λ / d

Where:

• λ = wavelength of light
• d = distance between the slits

Given Values

For this problem:

• Wavelength (λ) = 500 nm = 500 × 10^-9 m
• Distance between slits (d) = 2.0 × 10^-3 m

Calculating Angular Separation

Now, substituting the values into the formula:

θ = (500 × 10^-9 m) / (2.0 × 10^-3 m)

Calculating this gives:

θ = 2.5 × 10^-4 radians

Final Result

The angular separation between consecutive bright fringes is approximately 2.5 × 10^-4 radians.