SATHEE: dual-nature-of-radiation-and-matter Question 17

Dual Nature Of Radiation And Matter

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dual-nature-of-radiation-and-matter Question 17

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 $(E_{V})$ of the incident photons. Draw the nature of the graph for $λ$ as a function of $E_{V}$ . [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,

$λ = \frac{h}{p} = \frac{h}{\sqrt{2 m E_{V}}}$

[CBSE Marking Scheme, 2014]

Dual Nature Of Radiation And Matter

dual-nature-of-radiation-and-matter Question 17

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Dual Nature Of Radiation And Matter

dual-nature-of-radiation-and-matter Question 17

Table of Contents

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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