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The de-Broglie wavelengh of a neutron in...

The de-Broglie wavelengh of a neutron in thermal equilibrium with heavy water at a temperature T (Kelvin) and mass m, is

A

`(h)/(sqrt(mKT))`

B

`(h)/(sqrt(3mKT))`

C

`(2h)/(sqrt(3mKT))`

D

`(2h)/(sqrt(mKT))`

Text Solution

Verified by Experts

The correct Answer is:
B

de-Brogile wavelenght
`lambda=(h)/(mv)`
`=(h)/(sqrt(2m(KE)))`
`(h)/(sqrt(2m((3)/(2)kT)))`
`lambda=(h)/(sqrt(3mkT))`
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