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MHT CET 2025 (21 Apr, Shift 1) · Photoelectric Effect: Einstein's Equation

Photoelectric Effect: Einstein's Equation question from MHT CET 2025 (21 Apr, Shift 1)

Q44MHT CET 2025 · 21 APR · SHIFT 1Medium

Photoelectric Effect: Einstein's Equation

Photoelectric emission is observed from a metallic surface for frequencies v1v_1 and v2v_2 of the incident light rays (v1>v2)(v_1 > v_2). If the maximum values of kinetic energy of the photoelectrons emitted in the two cases are in the ratio of 1:k1 : k, then the threshold frequency of metallic surface is

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Answer: (d)

  1. K=h(v−v0)K = h(v - v_0), so v1−v0v2−v0=1k\frac{v_1 - v_0}{v_2 - v_0} = \frac{1}{k}.
  2. kv1−kv0=v2−v0⇒v0(k−1)=kv1−v2kv_1 - kv_0 = v_2 - v_0 \Rightarrow v_0(k - 1) = kv_1 - v_2
  3. So the answer is (d) v0=kv1−v2k−1v_0 = \frac{kv_1 - v_2}{k - 1}.
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