TS EAMCET · Chemistry · Structure of Atom

The relation between the stopping potential $(V_{0})$ and frequency $(v)$ is correctly represented in [ $ϕ =$ Work function]

A $V_{0} = \frac{ϕ}{e} - \frac{{hv}^{2}}{e}$
B $V_{0} = \frac{he}{v} + \frac{ϕ}{e}$
C $V_{0} = \frac{hv}{e} - \frac{ϕ}{e}$
D $V_{0} = \frac{hv}{e^{2}}$

Verified Solution

Answer & Solution

Correct Answer

(C) $V_{0} = \frac{hv}{e} - \frac{ϕ}{e}$

Step-by-step Solution

Detailed explanation

According to the question, Stopping potential or cut-off potential is defined as the required potential for stopping the removal of an electron from a metal surface when the incident light energy is greater than the work potential of the metal on which the incident light is…

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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The relation between the stopping potential V0 and frequency v is correctly represented in [ϕ= Work function]

Step-by-step Solution

The relation between the stopping potential $(V_{0})$ and frequency $(v)$ is correctly represented in [ $ϕ =$ Work function]