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Q.

If energy of a moving electron having de Broglie wave length of 10 Ao is E. What will be the de Broglie wave length of an electron having energy 4E?

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a

40 Ao

b

2.5 Ao

c

20 Ao

d

5 Ao

answer is D.

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Detailed Solution

p=hλ       ∴E=p22m=h22mλ2∴E1E2=λ2λ12⇒λ2=λ1E1E2=10 x E4E=5 Ao
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If energy of a moving electron having de Broglie wave length of 10 Ao is E. What will be the de Broglie wave length of an electron having energy 4E?