COMEDK · Physics · 27. Dual Nature of Matter

When metal of work function 1.4eV is exposed to a radiation, the maximum kinetic energy of the electron emitted is 0.4eV. The stopping potential required is:

A \(0.2\) V
B \(1.4\) V
C \(0.4\) V
D \(2.8\) V

Verified Solution

Answer & Solution

Correct Answer

(C) \(0.4\) V

Step-by-step Solution

Detailed explanation

Given maximum kinetic energy of the emitted electron, \(K_{\max} = 0.4\) eV. The relation between maximum kinetic energy and stopping potential \(V_0\) is given by \(K_{\max} = e V_0\). Substituting the value of \(K_{\max}\), we get \(e V_0 = 0.4\) eV. \(V_0 = 0.4\) V. Answer:…

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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