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Question

In Young's experiment two coherent sources are placed 0.90 mm apart and fringe are observed one metre away. If it produces second dark fringes at a distance of 1 mm from central fringe., the wavelength of monochromatic light is used would be

A
60 ×104 cm
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B
10 ×104 cm
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C
10 ×105 cm
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D
6 ×105 cm
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Solution

The correct option is D 6 ×105 cm
Formula,

x=(2n1)λD2d

λ=2xd(2n1)D

=2×103×0.9×103(2×21)×1

=6×105cm

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