In Young's double slit experiment, the slits are separated by 0.54 mm and the screen is placed 1.8 m away. The distance between central bright fringe and sixth bright fringe is measured to be 1.2 cm. Determine the wavelength of light used in the experiment.

A \(5000\) Å
B 600 nm
C 8000 nm
D 800 nm

Verified Solution

Answer & Solution

Correct Answer

(B) 600 nm

Step-by-step Solution

Detailed explanation

\( \lambda = \frac{x_n d}{n D} \) \( \lambda = \frac{(1.2 \times 10^{-2} \text{ m}) (0.54 \times 10^{-3} \text{ m})}{6 \times (1.8 \text{ m})} \)

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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