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. 1/100 cm
• B. 6.6 × 10^-34 m
• C. 1.32 × 10^-35 m
• D. 6.6 × 10^-28 m

Answer 1

The correct option is C

1.32 × 10^-35 m

From the de Broglie matter-wave equation, we know

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

Here m = 0.5, v = 100 m/s

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