Question

What is the wavelength (in m) of a particle of mass $6.62\times {10}^{-29}$g moving with a velocity of ${10}^{3}m{s}^{-1}$?

• A. $6.62\times {10}^{-4}$
• B. $6.62\times {10}^{-3}$
• C. ${10}^{-5}$
• D. ${10}^5$

Answer 1

The correct option is C ${10}^{-5}$

The de Broglie equations relate the wavelength λ to the momentum p, and frequency f to the total energy E of a particle: where h is Planck's constant.

$\lambda =\frac{h}{mv}$

where,

m= mass=$6.62\ast {10}^{-26}Kg$

h= Planck's constant=$6.62\ast {10}^{-34}{m}^2/Kg.s$

v= velocity of particle=$1000m/s$

$\lambda =\frac{6.62\times {10}^{-34}}{1000\times 6.62\times {10}^{-32}}={10}^{-5}m$