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If energy of a moving electron having de Broglie wave length of $10 \overset{o}{A}$ is E. What will be the de Broglie wave length of an electron having energy 4E?

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detailed solution

Correct option is D

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?

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If energy of a moving electron having de Broglie wave length of $10 \overset{o}{A}$ is E. What will be the de Broglie wave length of an electron having energy 4E?