If the de-Broglie wavelength of a particle of mass m is 100 times its velocity then its value in terms of its mass (m) and Planck's constant (h) is

Options

A. `1/10sqrt(m/h)`
B. `10sqrt(h/m)`
C. `1/10sqrt(h/m)`
D. `10sqrt(m/h)`

Answer

B

Explanation

Let wavelength of particle be x
So velocity `=x/100`
`lambda=h/"mv" , x =(hxx100)/(mxx x)`
`x^2=100 h/m "or" x=10sqrt(h/m)`