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Q.

The wavelength of an electron and a neutron will become equal when the velocity of the electron is x times the velocity of neutron. The value of x is (Nearest Integer) (Mass of electron is 9.1×10-31kg and mass of neutron is 1.6×10-27kg )

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answer is 1738.

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Detailed Solution

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Using relation, λ=hmv
 λelectron =h9.1×1031kg .(xvneutron ) ...(i)λelectron =h1.6×1027kgvneutron  ...(ii) 
 Equating (i) and (ii),  h9.1×1031kg (xvneutron )=h1.6×1027kgvneutron               x=1.6×10279.1×1031x=0.17582×104=1758.2

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