Question

The de Broglie wavelength of a particle of mass 1 gram and velocity $100{ms}^{-1}$ is:

• A. $6.63\times {10}^{-35}$
• B. $6.63\times {10}^{-34}$
• C. $6.63\times {10}^{-33}$
• D. $6.63\times {10}^{-32}$

Answer 1

Answer: (C)

$6.63\times {10}^{-33}$

Mass of particle, $m=1gram={10}^{-3}Kg$

Velocity, $v=100m{s}^{-1}$

De broglie wavelength $\lambda =\frac{h}{mv}$

$=\frac{6.626\times {10}^{-34}}{1\times {10}^{-3}\times 100}$

$=6.626\times {10}^{-33}m$

Hence, option C is correct.