The wavelength of de-Broglie wave associated with a neutron of mass m at absolute temperature T is given by ……….. (here K is the Boltzman constant)

Options

A. `(h)/(sqrt(2mkT))`
B. `(h)/(sqrt(mkT))`
C. `(k)/(sqrt(3mkT))`
D. `(h)/(2sqrt(mkT))`

Answer

C

Explanation

`(1)/(2)mv^(2)=(3)/(2)kT`
`therefore m^(2)v^(2)=3mkT therefore mv=sqrt(3mkT)`
`therefore` de-Broglie wavelength ,
`lambda=(h)/(mv) therefore lambda=(h)/(sqrt(3mkT))`