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Question

The kinetic energy of an electron is 9.1×1025 J. Calculate the de Broglie wavelength for the same.
(Planck's constant,h=6.6×1034 Js, mass of electron=9.1×1031 kg)

A
0.51×105 m
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B
0.51×106 m
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C
0.51×107 m
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D
0.51×108 m
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Solution

The correct option is B 0.51×106 m
Given:
Kinetic energy (K.E.)=9.1×1025 J
Mass of electron (me)=9.1×1031 kgPlanck's constant (h)=6.6×1034 Js

We know,
de Broglie wavelength(λ)=h2K.E.me=6.6 × 1034Jsec2 × 9.1 × 1025 × 9.1 × 1031=0.51 × 106 m



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