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MHT CET 2021 (22 Sep, Shift 1) · Diffraction at a Single Slit

Diffraction at a Single Slit question from MHT CET 2021 (22 Sep, Shift 1)

Q63MHT CET 2021 · 22 SEP · SHIFT 1Medium

Diffraction at a Single Slit

A single slit diffraction pattern is formed with white light. For what wavelength of light the $3$ rd secondary maximum in diffraction pattern coincides with the $2$ nd secondary maximum in the pattern of red light of wavelength 6000 $\text{Å}$ ?

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Answer: (a)

$n$ th secondary maximum: $a\sin\theta = \dfrac{(2n+1)\lambda}{2}$
3rd for $\lambda'$ , 2nd for red: $7\lambda' = 5 \times 6000$
$\lambda' = \dfrac{30000}{7} \approx 4286$ Å, nearest option (a) $4500$ Å.

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