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Question

In Young’s double-slit arrangement, slits are separated by a gap of0.5mm, and the screen is placed at a distance of 0.5m from them. The distance between the first and the third bright fringe formed when the slits are illuminated by monochromatic light of 5890Å is:


A

1178×10-6m

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B

1178×10-9m

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C

5890×10-7m

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D

1178×10-12m

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Solution

The correct option is A

1178×10-6m


Solution:

Step 1: Given information:

Slits are separated by a gap, D=0.5m

The screen is placed at a distance, d=0.5mm

The slits are illuminated by monochromatic light, λ=5890Å

Step 2: Calculate the distance between the first and the third bright fringe formed when the slits are illuminated by the monochromatic light of 5890Å

The distance between the first and third brilliant fringes is measured, 2β=2λDd

=2×5890×10-10×0.5(0.5×10-3)

=1178×10-6m

Hence, the correct option is (A).


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