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Question

Ultraviolet light of wavelength λ1andλ2(λ2>λ1) when allowed to fall on hydrogen atoms in their ground state is found to liberate electrons with kinetic energies E1andE2 respectively. The value of planck's constant can be found from the relation

A
h=1c(λ2λ1)(E1E2)
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B
h=1c(λ1+λ2)(E1+E2)
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C
h=(E1E2)λ1λ2c(λ2λ1)
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D
h=(E1+E2)λ1λ2c(λ1+λ2)
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Solution

The correct option is C h=(E1E2)λ1λ2c(λ2λ1)
Using Einstein's formula, E1=hCλ113.6eV;E2=hCλ213.6eV
Or, E1E2=hC[1λ11λ2];E1E2=hC[λ2λ1λ1λ2]
Or, h=(E1E2)λ1λ2c(λ2λ1)

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