TS EAMCET · Physics · Dual Nature of Matter

The value of Plank's constant, if the slope of the graph of stopping potential vs frequency of incident light is $4 \times 10^{- 15} V s$ is (given charge of an electron $= 1.6 \times 10^{- 19} C$ )

A $6.0 \times 10^{- 34} J s$
B $6.2 \times 10^{- 34} J s$
C $6.4 \times 10^{- 34} J s$
D $6.6 \times 10^{- 34} J s$

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Answer & Solution

Correct Answer

(C) $6.4 \times 10^{- 34} J s$

Step-by-step Solution

Detailed explanation

From Einstein's photoelectric equation, eVs=hν-ϕ⇒Vs=heν-ϕe Clearly, it is a linear relation between stopping potential and frequency of the incident light. Therefore, slope of the curve is =he. From question,…

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 value of Plank's constant, if the slope of the graph of stopping potential vs frequency of incident light is 4×10-15 V s is (given charge of an electron =1.6×10-19 C)

Step-by-step Solution

The value of Plank's constant, if the slope of the graph of stopping potential vs frequency of incident light is $4 \times 10^{- 15} V s$ is (given charge of an electron $= 1.6 \times 10^{- 19} C$ )