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de Broglie wavelength of a neutron particle having kinetic energy E is λ. What will be the de Broglie wavelength of a neutron particle having energy 9E?

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a

λ6

b

λ2

c

2λ3

d

λ3

answer is D.

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Detailed Solution

p22m=E⇒P=2mE⇒λ=hp=h2mE∴ λ1λ=2mE2mE1=E9E=13⇒λ1=λ/3

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de Broglie wavelength of a neutron particle having kinetic energy E is λ. What will be the de Broglie wavelength of a neutron particle having energy 9E?