Question

The de-Broglie wavelength of a tennis ball of mass $60g$ moving with a velocity of $10m/s$ is approximately (planck's constant, $h=6.63\times {10}^{-34}J-s$)

• A. ${10}^{-33}m$
• B. ${10}^{-31}m$
• C. ${10}^{-16}m$
• D. ${10}^{-25}m$

Answer 1

The correct option is A ${10}^{-33}m$

Given that,

Mass of ball $m=60g$

Velocity $v=10m/s$

Plank constant $h=6.63\times {10}^{-34}Js$

We know that,

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

$\lambda =\frac{6.6\times {10}^{-34}}{60\times {10}^{-3}\times 10}$

$\lambda =1.1\times {10}^{-33}$

$\lambda ={10}^{-33}m$

Hence, the wavelength is ${10}^{-33}m$