Light of wavelength 540 nm is incident on a slit of width 0.150 mm,and a diffraction pattern is produced on a screen that is 2.00 m from the slit.What is the width of the central bright fringe? (1 nm = 10^-9 m)

Question

Quizplus · Accepted Answer

The formula for the width of the central bright fringe is given by:
w = (λL)/a
where λ is the wavelength of light, L is the distance between the slit and the screen, and a is the width of the slit.

Substituting the given values:
λ = 540 nm = 540 × 10⁻⁹ m
L = 2.00 m
a = 0.150 mm = 0.150 × 10⁻³ m

w = (540 × 10⁻⁹ × 2.00)/0.150 × 10⁻³
w = 7.2 × 10⁻³ m = 0.72 cm

Therefore, the width of the central bright fringe is 0.72 cm, which is closest to option (B) 1.44 cm.

Light of Wavelength 540 Nm Is Incident on a Slit