Question

A body of mass $10mg$ is moving with a velocity of $100{ms}^{-1}$. The wavelength of the de Broglie wave associated with it would be

• A. $6.63\times {10}^{-7}m$
• B. $6.63\times {10}^{-31}m$
• C. $6.63\times {10}^{-4}m$
• D. $6.63\times {10}^{-35}m$

Answer 1

Answer: (B)

$6.63\times {10}^{-31}m$

de Broglie wavelength $\lambda =\frac{h}{mv}$
$\lambda =\frac{6.626\times {10}^{-34}}{10\times {10}^{-6}\times 100}$
$[h=6.626\times {10}^{-3}J/sec;m=10mg=10\times {10}^{-6}kg;v=100m/sec]$
or $\lambda =6.626\times {10}^{-31}m$