Q. 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) 0.032 nm
B) 0.40 nm
C) 2.5 nm
D) 14.0 nm
Explanation
(b)
$\lambda = \frac{h}{mv} = \frac{6.63 \times 10^{- 34}}{1.67 \times 10^{- 27} \times 1 \times 10^{3}}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 3.97 \times 10^{- 10}m\sim 0.40\ nm.$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.