Two stream of photons, possessing energies equal to twice and ten times the work function of metal are…

Two stream of photons, possessing energies equal to twice and ten times the work function of metal are incident on the metal surface successively. The value of ratio of maximum velocities of the photoelectrons emitted in the two respective cases is x:3 The value of x is

Solution

KEmax=hν-ϕ

12mv2=hν-ϕ

v=2hν-ϕm

Given hν1=2ϕ

hν2=10ϕ

 v1v2=hν1-ϕhν2-ϕ

v1v2=2ϕ-ϕ10ϕ-ϕ=13

Asked in: JEE Main 2021 (26 Feb Shift 2)

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