Question

Calculate the wavelength (in nanometer) associated with a proton moving at $1.0\times {10}^3{ms}^{-1}$.
(Mass of proton$=1.67\times {10}^{-27}kg$ and $h=6.63\times {10}^{-34}Js$)

• A. $0.40nm$
• B. $2.5nm$
• C. $14.0nm$
• D. $0.32nm$

Answer 1

The correct option is A $0.40nm$

By using Debrogile equation, $\lambda =\frac{h}{m\nu }=\frac{6.6\times {10}^{-34}}{1.6\times {10}^{-27}\times 1\times {10}^3}=4\times {10}^{-10}$

$=0.40\times {10}^{-9}m$

$=0.40㎚$

So, option $A$ is correct.