MHT CET · Physics · Wave Optics

In Young's double slit experiment with monochromatic light of wavelength 600 nm, the distance between the slits is \(10^{-3} \mathrm{~m}\). For changing the fringe width by \(3 \times 10^{-5} \mathrm{~m}\)
a) the screen is moved away from the slit by 5 cm.
b) the screen is moved 5 cm towards the slits.
c) the screen is moved 3 cm towards the slits.
d) the screen is moved away from the slits by 3 cm.

A both (c) and (d)
B both (a) and (b)
C only (a)
D only (c)

Verified Solution

Answer & Solution

Correct Answer

(B) both (a) and (b)

Step-by-step Solution

Detailed explanation

\(\Delta D = \frac{\Delta \beta \cdot d}{\lambda}\) \(\Delta D = \frac{(3 \times 10^{-5} \mathrm{~m}) \cdot (10^{-3} \mathrm{~m})}{600 \times 10^{-9} \mathrm{~m}}\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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