Question

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

• A. $0.032nm$
• B. $0.40nm$
• C. $2.5nm$
• D. $14.0nm$

Answer 1

The correct option is B $0.40nm$

Wavelength of a moving particle is calculated using De Broglie equation:

$\lambda =\frac{h}{mv}=\frac{6.63\times {10}^{-34}}{1.67\times {10}^{-27}\times 1\times {10}^3}$ $=0.40\times {10}^{-9}m=0.40$ nm