Question: Q. 10. X-rays fall on a photosensitive surface to cause photoelectric emission. Assuming that the work function of the surface can be neglected, find the relation between the de-Broglie wavelength (λ) of the electrons emitted to the energy (EV) of the incident photons. Draw the nature of the graph for λ as a function of EV. [Delhi Comptt. I, II, III 2014]

$$ \begin{array}{rlrl} \text {

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Solution:

Ans. } & E_{V} & =\phi_{0}+K_{\max } \ \text { As } & & \phi_{0} & =0 \ \Rightarrow & E_{\mathbf{V}} & =K_{\max } \ \Rightarrow & K_{\max } & =\frac{p^{2}}{2 m}=E_{\mathbf{V}} \ \Rightarrow & & p & =\sqrt{2 m E_{\mathrm{V}}} \end{array} $$

Wavelength (λ) of emitted electrons,

λ=hp=h2mEV

[CBSE Marking Scheme, 2014]



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