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Ionization Enthalpy

Which of the ...

Question

Which of the following particles - neutron, proton,electron and deuteron has the lowest energy if all have the same de Broglie wavelength:

A

neutron

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B

proton

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C

electron

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D

deuteron

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Solution

The correct option is C deuteron
$λ = \frac{h}{m v}$
$λ = \frac{h}{\sqrt{2 E m}}$
So $E α \frac{1}{m}$
Deuteron is mass of 1 proton and 1 neutron ,hence its mass is maximum out of the given particles ,so its energy is the lowest.

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