CUET · PHYSICS · PYQ PAPER 2025

If the wavelength of an electromagnetic radiation is doubled, the energy of the photons would be

A double of its initial value
B unchanged
C one half of its initial value
D four times of its initial value

Verified Solution

Answer & Solution

Correct Answer

(C) one half of its initial value

Step-by-step Solution

Detailed explanation

\(E = \frac{hc}{\lambda}\) \(E' = \frac{hc}{2\lambda} = \frac{1}{2}E\) one half of its initial value

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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