Question

A cricket ball of 0.5 kg is moving with a velocity of 100 m/sec. The wavelength associated with its motion is

• A. $\frac{1}{100}cm$
• B. $6.6\times {10}^{-34}m$
• C. $1.32\times {10}^{-35}m$
• D. $6.6\times {10}^{-28}m$

Answer 1

The correct option is C

$1.32\times {10}^{-35}m$

From the de Broglie matter-wave equation, we know

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

Here m = 0.5, v = 100 m/s

$\Rightarrow \lambda =$ $\frac{6.62\times {10}^{-34}}{0.5\times 100}$ $=1.32\times$ ${10}^{35}m$