Consider diffraction of light through a rectangular slit which is… - Vidyadip

MCQ

Consider diffraction of light through a rectangular slit which is twice as wide as it is high. Which of the following is statements is true ?

✓
The central diffraction peak is wider in the vertical direction than the horizontal direction
B
The central diffraction peak is wider in the horizontal direction than the vertical direction
C
The central diffraction peak is equally wide in both horizontal and directions.
D
Width of the central diffraction peak is independent of the wavelength of light used.

✓

Answer

Correct option: A.

The central diffraction peak is wider in the vertical direction than the horizontal direction

a
(A)

Here fringes will be superposition of both direction, horizontal due to width and vertical due to height

since $W =2 h$ (given)

And fringe width $\beta \propto \frac{1}{a}$ ' $a$ ' is slit width

So, in vertical direction diffraction peak is wider than in horizontal direction.

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