Question

The wavelength associated with a golf ball weighing 200 g and moving at a speed of 20 m/h is of the order:

• A. $3.97\times {10}^{-10}m$
• B. $5.97\times {10}^{-20}m$
• C. $5.97\times {10}^{-31}m$
• D. $3.97\times {10}^{-31}m$

Answer 1

The correct option is C $5.97\times {10}^{-31}m$

Given :
$\text{Velocity of golf ball}\left(v\right)=20m/h=\frac{20}{60\times 60}m/s$
$\text{Mass of golf ball}\left(m\right)=200g=0.2kg$
$\text{de Broglie wavelength}\left(\lambda \right)=\frac{h}{mv}=\frac{6.63\times {10}^{-34}}{\frac{20}{60\times 60}\times 0.2}=5.967\times {10}^{-31}m$