AIIMS2017Physics-Modern Physics

AIIMS 2017 Physics Photoelectric Effect MCQ Question

Type: MCQ-conceptual-Medium-Class 12

Photoelectric effect experiments are performed using three different metal plates p, q and r having work functions Qp=2.0 eVQ_p = 2.0\text{ eV}, Qq=2.5 eVQ_q = 2.5\text{ eV} and Qr=3.0 eVQ_r = 3.0\text{ eV} respectively. A light beam containing wavelengths of 550 nm550\text{ nm}, 450 nm450\text{ nm} and 350 nm350\text{ nm} with equal intensities illuminates each of the plates. The correct I-V graph of the experiment is (take hc=1240 eVnmhc = 1240\text{ eV}\cdot\text{nm})

Correct Answer

Option A

Detailed Explanation

Option A is correct because it correctly applies the formula Vr=1e(hcλf)V_r = \frac{1}{e} \left( \frac{hc}{\lambda} - f \right) with the values λ=350nm\lambda = 350 \, \text{nm} and f=3f = 3. Substituting these values yields Vr=1e(12403503)0.5428VV_r = \frac{1}{e} \left( \frac{1240}{350} - 3 \right) \approx 0.5428 \, \text{V}, which matches the calculated result. The other options are not applicable or do not provide valid calculations based on the given parameters, thus making them irrelevant in this context.

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