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MHT CET 2026 (17 Apr, Shift 1) · Photoelectric Effect: Einstein's Equation

Photoelectric Effect: Einstein's Equation question from MHT CET 2026 (17 Apr, Shift 1)

Q25MHT CET 2026 · 17 APR · SHIFT 1Medium

Photoelectric Effect: Einstein's Equation

Photoelectric emission is observed from a metallic surface for frequencies ν1\nu_1 and ν2\nu_2 of the incident light rays (ν1>ν2\nu_1 > \nu_2). If the ratio of maximum value of kinetic energy of the photoelectron emitted in first case to that in second case 3: K, then the threshold frequency of the metallic surface is

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Answer: (d)

  1. K=h(ν−ν0)K = h(\nu - \nu_0), so K1K2=ν1−ν0ν2−ν0=3K\frac{K_1}{K_2} = \frac{\nu_1 - \nu_0}{\nu_2 - \nu_0} = \frac{3}{K}.
  2. Kν1−Kν0=3ν2−3ν0K\nu_1 - K\nu_0 = 3\nu_2 - 3\nu_0
  3. ν0(K−3)=Kν1−3ν2\nu_0(K - 3) = K\nu_1 - 3\nu_2
  4. So the answer is (d) ν0=Kν1−3ν2K−3\nu_0 = \frac{K\nu_1 - 3\nu_2}{K - 3}.
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