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Question

A single slit Fraunhoffer diffraction pattern is formed with white light. For what wavelength of light the third secondary maximum in the diffraction pattern coincides with the second secondary maximum in the pattern for red light of wavelength 6500 oA

A
4400 oA
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B
4100 oA
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C
4642.8 oA
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D
9100 oA
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Solution

The correct option is C 4642.8 oA
x=(2n+1)λD2a
For red light, x=(4+1)D2a×6500oA
For other light, x=(6+1)D2a×λoA
x is same for each.
5 × 6500 = 7 ×λ λ = 57× 6500 = 4642.8 oA

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