Photons with energy 5 eV are incident on a cathode C in a photoelectric cell. The maximum energy of emitted photoelectrons is 2 eV. When photons of energy 6 eV are incident on C, no photoelectrons will reach the anode A, if the stopping potential of A rel

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Solution

Q.
Photons with energy 5 eV are incident on a cathode C in a photoelectric cell. The maximum energy of emitted photoelectrons is 2 eV. When photons of energy 6 eV are incident on C, no photoelectrons will reach the anode A, if the stopping potential of A relative to C is [2016]

1 +3 V

2 +4 V

3 –1 V

4 –3 V

Ans.
(4)

According to Einstein's photoelectric equation, maximum kinetic energy of photoelectrons,

$K E_{max} = E_{ν} - ϕ$

or $2 = 5 - ϕ ∴ ϕ = 3 eV$

When $E_{ν} = 6$ eV then, $K E_{max} = 6 - 3 = 3$ eV

or $e (V_{cathode} - V_{anode}) = 3$ eV

or $V_{cathode} - V_{anode} = 3 V = - V_{stopping}$

$∴$ $V_{stopping} = - 3$ V

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