The kinetic energy of the most energetic photo-electron emitted from a metal surface is doubled when the wavelength of the incident radiation is reduced from λ 1 to λ 2 . The work function of the metal is

Question

The kinetic energy of the most energetic photo-electron emitted from a metal surface is doubled when the wavelength of the incident radiation is reduced from λ 1 to λ 2 . The work function of the metal is, h c λ 1 λ 2 2 λ 2 - λ 1, 2 h c λ 1 λ 2 2 λ 1 - λ 2, 2 h c λ 1 λ 2 λ 1 + λ 2, 2 h c λ 1 λ 2 λ 1 - λ 2

MARKS App · Accepted Answer

Given: K m a x = h c λ 1 - W 0 … … . ( i ) and 2 K m a x = h c λ 2 - W 0 … … . ( i i ) Dividing (ii) by (i), we get 2 = h c λ 2 - W 0 h c λ 1 - W 0 This gives W 0 = h c λ 1 λ 2 2 λ 2 - λ 1

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