De Broglie wavelength of a body of mass m and kinetic energy E is given by

Question

De Broglie wavelength of a body of mass m and kinetic energy E is given by (A) λ=(√2mE/h) (B) λ=(h/mE) (C) λ=(h/√2mE) (D) λ=(h/2mE)

Tardigrade Admin · Accepted Answer

de Broglie wavelength associated with the particle

λ = \frac{h}{p}

where

h

is the Planck's constant now we know thwt,

E = \frac{1}{2} m v^{2}

and

p = m v

by mutiplying by

m

on both sides we get,

p = 2 m E

hence,

λ = \frac{h}{2 m E}

Q. De Broglie wavelength of a body of mass m and kinetic energy E is given by