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BITSAT 2017
Exam
BITSAT
Year
2017
Subject
Physics
Chapter
Atomic Physics

BITSAT 2017 · Physics · Atomic Physics

An α -particle after passing through potential difference of V volt...

An α\alpha-particle after passing through potential difference of VV volt collides with a nucleus. If the atomic number of the nucleus is ZZ, then distance of closest approach is

Options

  1. A14.4ZVÅ14. 4\dfrac{Z}{V} Å
  2. B14.4ZVm14. 4\dfrac{Z}{V}m
  3. C14.4VZm14. 4\dfrac{V}{Z}m
  4. D14.4VZÅ14. 4\dfrac{V}{Z} Å

Correct answer

A. 14.4ZVÅ14. 4\dfrac{Z}{V} Å

Step-by-step solution

Given KEKE of α\alpha-particle =2eV= 2eV

r=(Ze)(e)4πε0⋅(KE)r = \dfrac{\left(Ze\right)\left(e\right)}{4\pi{ε}_{0} \cdot \left(KE\right)}

=2Ze×9×1092V= \dfrac{2Ze \times 9 \times {10}^{9}}{2V}

⇒r=2×Z×16×10−19×9×1092V⇒ r = \dfrac{2 \times Z \times 16 \times {10}^{- 19} \times 9 \times {10}^{9}}{2V}

=14.4⋅ZVÅ= 14. 4 \cdot \dfrac{Z}{V} Å

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