An electron starts from rest and is accelerated through an unknown potential difference. Its measured de Broglie wavelength is 1.227 Å. Use the non-relativistic relation λ(Å) = 12.27 ÷ √V, where V is measured in volts. If the accelerating potential is N V, find N.
Physics · Photoelectric effect and dual nature of matter · debroglie duel nature of light
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Question

An electron starts from rest and is accelerated through an unknown potential difference. Its measured de Broglie wavelength is 1.227 Å. Use the non-relativistic relation λ(Å) = 12.27 ÷ √V, where V is measured in volts. If the accelerating potential is N V, find N.

Physics · Photoelectric effect and dual nature of matter · debroglie duel nature of light

G1 Physics · Accepted Answer

Use λ(Å) = 12.27 ÷ √V. Given, 1.227 = 12.27 ÷ √V. Therefore, √V = 12.27 ÷ 1.227 = 10. Hence, V = 10² = 100 V. Therefore N = 100.