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Question

Physics Question on Electrostatic potential

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

A

2.5 V

B

5 V

C

2.5 kV

D

5 kV

Answer

5 V

Explanation

Solution

λ=h2eVm\lambda=\frac{h}{\sqrt{2 e V m}} 5??,A=6.6×10342×1.6×1019×9.1×1031×V5 \,??,{A}=\frac{6.6 \times 10^{-34}}{\sqrt{2 \times 1.6 \times 10^{-19} \times 9.1 \times 10^{-31} \times V}} 5??6.6×10345.4×1025V5 \,??\frac{6.6 \times 10^{-34}}{5.4 \times 10^{-25} \sqrt{V}} V=(6.6×10345.4×1025×5×1010)2V=\left(\frac{6.6 \times 10^{-34}}{5.4 \times 10^{-25} \times 5 \times 10^{-10}}\right)^{2} V=5.76V=5.76 volt