Question

The de Broglie wavelength associated with a ball of mass $1$kg having kinetic energy $0.5J$ is:

• A. $6.626\times {10}^{-34}m$
• B. $13.20\times {10}^{-34}m$
• C. $10.38\times {10}^{-21}m$
• D. $6.626\times {10}^{-34}\stackrel{o}{A}$

Answer 1

The correct option is A $6.626\times {10}^{-34}m$

$\lambda =\frac{h}{mv}=\frac{h}{\sqrt{2mE}}$

$=\frac{6.6\times {10}^{-34}}{\sqrt{2\times 1\times 0.5}}=6.6\times {10}^{-34}$m

Hence, the correct option is $A$