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Dual Nature of Radiation and Matter

  1. Light of two different frequencies  whose photons have energies 1 eV and 2.5 eV respectively illuminate a metallic surface whose work function is 0.5 eV successively.
    Ratio of maximum speeds of emitted electrons will be
    1. 1 : 4
    2. 1 : 2
    3. 1 : 1
    4. 1 : 5
Correct Option: B

The maximum kinetic energy of emitted electrons is given by ​
K.E = φ – φ 0
K.E1 = 1 eV – 0.5 eV = 0.5 eV ​
K.E2 = 2.5 eV – 0.5 eV = 2 eV

KE1
=
0.5eV
=
1
KE22eV4

= =
v1
1
1
v242



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