Question

A proton moving with $25\%$ of the velocity of light is having a mass of $1.6\times 10^{-24}g$ . What is the de Broglie wavelength associated with the proton?

• A. $6.25\times 10^{-13}cm$
• B. $5.52\times 10^{-13}cm$
• C. $4.15\times 10^{-12}cm$
• D. $3.5\times 10^{-13}cm$

Answer 1

Answer: (B)

$m=1.6\times 10^{-24}g$
$v=3\times 10^{10}cmse{c}^{-1}\times \frac{25}{100}$
$=0.75\times 10^{10}cmse{c}^{-1}$
The de Broglie wavelength associ-
ated with the proton is
$=\frac{6.626\times 10^{-27}ergsec}{1.6\times 10^{-24}\times 0.75\times 10^{10}}$
$=5.52\times 10^{-13}cm$