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Dual Nature of Radiation and Matter

  1. A photosensitive metallic surface has work function, hν0. If photons of energy 2 hν0 fall on this surface, the electrons come out with a maximum velocity of 4 × 106 m/s. When the photon energy is increased to 5 hν0, then maximum velocity of photo electrons will be
    1. 2 × 107 m/s
    2. 2 × 106 m/s
    3. 8 × 106 m/s
    4. 8 × 105 m/s
Correct Option: C

We know that

hv - φ = Kmax =
1
mv2max
2

According to question
5hv0 - hv0
=
v22
2hv0 - hv0v12

v2 = 2v1 = 2 × 4× 106 = 8 × 106 m/s.



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