Relation between de-Broglie wavelength and absolute temp.is given by …….

Options

A. `lambda prop T`
B. `lambda prop(1)/(T)`
C. `lambda prop(1)/(sqrt(T))`
D. `lambda prop T_(2)`

Answer

C

Explanation

de-Broglie wavelength `lambda=(h)/(p)`
but `p=sqrt(2mE)` and `E=(3)/(2)kT`
`therefore p=sqrt(2mxx(3)/(2)kT)`
`therefore p=sqrt(3mKT)`
Other terms are constant,
` therefore lambda =(h)/(sqrt(3mkT))`
`therefore lambda prop (1)/sqrt(T)`