You illuminate a slit 0.20 mm wide with monochromatic light of wavelength 590 nm,and focus the Fraunhofer diffraction pattern on a screen with a lens of focal length 2.00 m.The distance between the two dark fringes on each side of the central bright fringe is
A)0.295 cm
B)0.590 cm
C)1.18 cm
D)2.95 cm
E)5.90 cm

Question

Quizplus · Accepted Answer

The distance between the two dark fringes on each side of the central bright fringe is given by:

d = (λL)/w

where λ is the wavelength of light, L is the distance between the slit and the screen (in this case L = 2.00 m), and w is the width of the slit (w = 0.20 mm = 2.0 × 10^−4 m).

Substituting the given values, we get:

d = (590 × 10^−9 m) × (2.00 m) / (2.0 × 10^−4 m) = 5.90 × 10^−3 m = 1.18 cm.

Therefore, the correct choice is C.

You Illuminate a Slit 0