Question

the de broglie wavelength of a ball of mass 10 gram moving with a velocity of 10m/s1.[ h= 6.626× 10-34 JS ]
(a) 6.626×10-23m
(b) 6.626× 10-29 m
(c) 6.626× 10-31 m
(d) 6.626 × 10 -36m​

Answer 1

We have to find the De-Broglie's wavelength of a ball of mass 10g moving with a velocity of 10 m/s.

solution : mass of the ball, m = 10 g = 0.01 kg

velocity of the ball, v = 10 m/s

Plank's constant, h = 6.626 × 10⁻³⁴ Js

using De-Broglie's wavelength equation,

$\quad\textbf{wavelength}=\bf{\frac{h}{momentum}}\\\\\implies\bf{\lambda=\frac{h}{mv}}$

= $\bf{\frac{6.626\times10^{-34}Js}{0.01kg\times10m/s}}$

= 6.626 × 10⁻³³ m

therefore the De-Broglie's wavelength of the ball is 6.626 × 10⁻³³ m. there is no correct option mentioned in your question.