Question

The wavelength associated with a golf ball weighing 100 g and moving at a speed of 40 m/hr is approximately of the order:

• A. ${10}^{-10}m$
• B. ${10}^{-20}m$
• C. ${10}^{-31}m$
• D. ${10}^{-33}m$

Answer 1

The correct option is C ${10}^{-31}m$

Given,
$\text{Velocity of golf ball}\left(v\right)=40m/hr=\frac{40}{60\times 60}m/s$
$\text{Mass of golf ball}\left(m\right)=100g=0.1kg$
$\text{de Broglie wavelength}\left(\lambda \right)=\frac{h}{mv}$
$=\frac{6.62\times {10}^{-34}}{\frac{40}{60\times 60}\times 0.1}$ $=5.958\times {10}^{-31}m$