MHT CET · Physics · Dual Nature of Matter

On a photosensitive material, when the frequency of incident radiation is increased by $30 %$ , the kinetic energy of emitted photoelectrons increases from $0.4 eV$ to $0.9 eV$ . The work function of the surface is

A $1 eV$
B $1.267 eV$
C $1.4 eV$
D $1.8 eV$

Verified Solution

Answer & Solution

Correct Answer

(B) $1.267 eV$

Step-by-step Solution

Detailed explanation

h v = 0.4 + W_{0}

....... (i)

1.3 h v = 0.9 + W_{0}

....... (ii)
(ii) - 1.3 (i) gives

0.3 W_{0} = 0.9 - 1.3 (0.4)

∴ W_{0} = \frac{0.38}{0.3} = 1.267 eV

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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On a photosensitive material, when the frequency of incident radiation is increased by 30%, the kinetic energy of emitted photoelectrons increases from 0.4 eV to 0.9 eV. The work function of the surface is

Step-by-step Solution

On a photosensitive material, when the frequency of incident radiation is increased by $30 %$ , the kinetic energy of emitted photoelectrons increases from $0.4 eV$ to $0.9 eV$ . The work function of the surface is