When the wavelength of radiation falling on a metal is changed from 500 nm to 200 nm the maximum kinetic energy of the photoelectrons becomes three times larger. The work function of the metal is close to:
When the wavelength of radiation falling on a metal is changed from 500 nm to 200 nm the maximum kinetic energy of the photoelectrons becomes three times larger. The work function of the metal is close to:
If the work function of the metal is φ, then the kinetic energy (K.E.) of the emitted photoelectron is given by Einstein's photoelectric equation:
K.E. = hν - φ = (hc/λ) - φ
Case 1: λ? = 500 nm
K? = (hc/λ? ) - φ
Case 2: λ? = 200 nm
K? = (hc/λ? ) - φ
Given, K? = 3K?
So, (hc/λ? ) - φ = 3 * [ (hc/λ? ) - φ]
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Å
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Since
->current = 0
Photocell works on photoelectric effect.
For no emission of electron
λ > λ0
Q λ0 = hc/w0, so λ > hc/w0
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Physics Dual Nature of Radiation and Matter 2021
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