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One metal sphere of radius r of material...

One metal sphere of radius r of material with threshold frequency `v_0` is kept isolated and light of frequency v is incident on it. Frequency of the incident light is more than the threshold frequency of material. Find the maximum number of electrons which can be emitted from the sphere.

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To solve the problem of finding the maximum number of electrons that can be emitted from a metal sphere when light of frequency \( v \) is incident on it, we can follow these steps: ### Step 1: Understand the Photoelectric Effect When light of frequency \( v \) is incident on a metal surface, if the frequency is greater than the threshold frequency \( v_0 \), electrons can be emitted from the metal due to the photoelectric effect. The energy of the incident photons is given by \( E = h\nu \), where \( h \) is Planck's constant. **Hint:** Remember that the photoelectric effect only occurs when the frequency of the incident light exceeds the threshold frequency. ### Step 2: Apply Einstein's Photoelectric Equation ...
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