Question

As per de Broglie's formula a macroscopic particle of mass $100g$ and moving at a velocity of $100cm{s}^{-1}$ will have a wavelength of :

• A. $6.6\times {10}^{-29}cm$
• B. $6.6\times {10}^{-30}cm$
• C. $6.6\times {10}^{-31}cm$
• D. $6.6\times {10}^{-32}cm$

Answer 1

The correct option is C $6.6\times {10}^{-31}cm$

According to de-Broglie,
Wavelength, $\lambda =\frac{h}{mv}$

Given, $m=100g,v=100cm{s}^{-1}$

and $h=6.6\times {10}^{-34}J.s$
$=6.6\times {10}^{-27}erg.s$

On substituting values, we get-

$\lambda =\frac{6.6\times {10}^{-27}}{100\times 100}=6.6\times {10}^{-31}cm$

Hence, option C is correct.