Question

Two narrow parallel slits separated by a distance 0.3 mm are illuminated by monochromatic light of wavelength 550 nm. The two slits create a diffraction pattern of bright and dark spots. Find the angle between the center bright spot and the first bright spot next to the center spot.

Answer 1

The angle between the center bright spot and the first bright spot in a double-slit diffraction pattern can be found using the formula θ = λ/d, where λ is the wavelength of light and d is the distance between the slits. For the given values, the angle is approximately 1.83 x 10^-3 radians.

Step-by-step explanation:

The angle between the center bright spot and the first bright spot next to the center spot in a double-slit diffraction pattern can be determined using the formula:

θ = λ/d

Where:

• θ is the angle between the bright spots
• λ is the wavelength of light (550 nm = 5.5 x 10-7 m)
• d is the distance between the slits (0.3 mm = 3 x 10-4 m)

Substituting the given values:

θ = (5.5 x 10-7 m)/(3 x 10-4 m) = 1.83 x 10-3 radians

Therefore, the angle between the center bright spot and the first bright spot next to the center spot is approximately 1.83 x 10-3 radians.