Question:

An electron microscope is used to probe the atomic arrangements to a resolution of 5\(\AA\). What should be the electric potential to which the electrons need to be accelerated ?

Updated On: Jul 2, 2024
  • 2.5 V
  • 5 V
  • 2.5 kV
  • 5 kV
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The Correct Option is B

Solution and Explanation

$\lambda=\frac{h}{\sqrt{2 e V m}}$ $5 \,??,{A}=\frac{6.6 \times 10^{-34}}{\sqrt{2 \times 1.6 \times 10^{-19} \times 9.1 \times 10^{-31} \times V}}$ $5 \,??\frac{6.6 \times 10^{-34}}{5.4 \times 10^{-25} \sqrt{V}}$ $V=\left(\frac{6.6 \times 10^{-34}}{5.4 \times 10^{-25} \times 5 \times 10^{-10}}\right)^{2}$ $V=5.76$ volt
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Top Questions on Electrostatic potential

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Concepts Used:

Electrostatic Potential

The electrostatic potential is also known as the electric field potential, electric potential, or potential drop is defined as “The amount of work that is done in order to move a unit charge from a reference point to a specific point inside the field without producing an acceleration.”

SI Unit of Electrostatic Potential:

SI unit of electrostatic potential - volt

Other units - statvolt

Symbol of electrostatic potential - V or φ

Dimensional formula - ML2T3I-1

Electric Potential Formula:

The electric potential energy of the system is given by the following formula:

U = 1/(4πεº) × [q1q2/d]

Where q1 and q2 are the two charges that are separated by the distance d.