QJEEM19Chce5c: JEE Main 2019 Chemistry - Class 11 JEEM19Chce5c Solution: The de Broglie wavelength ( λ ) associated with a photoelectron …

Question

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The de Broglie wavelength (

λ

) associated with a photoelectron varies with the frequency (v) of the incident radiation as, [v₀ is threshold frequency] :

Accepted Answer

By photoelectric effect

KE = h

γ

- h

γ

_o ....(1)

de broglie wavelength,

λ

=

\frac{h}{m v}

=

\frac{h}{\sqrt{2 m \times K . E}}

...(2)

Using equation (1) and (2), we get

λ

=

\frac{h}{\sqrt{2 m \times (h ν - h ν_{0})}}

∴

λ \propto \frac{1}{{(v - v_{0})}^{\frac{1}{2}}}

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