MHT CET · Physics · Dual Nature of Matter
Two incident radiations having energies two times and ten times of the work function of a metal surface, produce photoelectric effect. The ratio of maximum velocities of emitted photo electrons respectively is
- A \(3: 2\)
- B \(1: 3\)
- C \(2: 3\)
- D \(1: 2\)
Answer & Solution
Correct Answer
(B) \(1: 3\)
Step-by-step Solution
Detailed explanation
\(\frac{1}{2} m v_{1}^{2}=2 \phi_{0}-\phi_{0}\)
\(\frac{1}{2} m v_{2}^{2}=10 \phi_{0}-\phi_{0}\)
\(\frac{v_{1}^{2}}{v_{2}^{2}}=\frac{1}{9}\)
\(\therefore \frac{v_{1}}{v_{2}}=\frac{1}{3}\)
\(\frac{1}{2} m v_{2}^{2}=10 \phi_{0}-\phi_{0}\)
\(\frac{v_{1}^{2}}{v_{2}^{2}}=\frac{1}{9}\)
\(\therefore \frac{v_{1}}{v_{2}}=\frac{1}{3}\)
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