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Question: Answered & Verified by Expert
In Young's double slit experimental setup, if the wavelength alone is doubled, the bandwidth $\beta$ becomes
PhysicsWave OpticsVITEEEVITEEE 2019
Options:
  • A $\frac{\beta}{2}$
  • B $2 \beta$
  • C $3 \beta$
  • D $\beta$
Solution:
1269 Upvotes Verified Answer
The correct answer is: $2 \beta$
Fringe width, $\beta=\frac{\lambda \mathrm{D}}{\mathrm{d}}$
When $\lambda$ alone is doubled then fringe width becomes
$$
\beta^{\prime}=\frac{(2 \lambda) \mathrm{D}}{\mathrm{d}}=2 \beta
$$

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