Question

The de Broglie wavelength of a particle with mass 1 gram and velocity 100 m/sec is

• A. 6.63 × 10^-33 m
• B. 6.63 × 10^-34 m
• C. 6.63 × 10^-35 m
• D. 6.65 × 10^-35 m

Answer 1

The correct option is A

6.63 × 10^-33 m

From the de-Broglie matter-wave equation, we know

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

Here mass $m=1gram={10}^{-3}kg$

and velocity $v=100m.s^{-1}$

$\Rightarrow$ $\lambda$ = $\frac{6.63\times {10}^{-34}}{{10}^{-3}\times 100}=6.63\times {10}^{-33}m$