Question

The wavelength associated with a golf ball weighing 200g and moving with a speed of 5 m/h is of the order

• A. $10^{-10}m$
• B. $10^{-20}m$
• C. $10^{-30}m$
• D. $10^{-40}m$

Answer 1

Answer: (C)

Given value,
Weight of a golf ball $=200g$
Movingwith speed $=5m/h=\frac{5}{60\times 60}=\frac{5}{3600}m/sec$
From de-Broglie equation; $\lambda =\frac{h}{mv}$
Here, $h$ is proportionality constant of plank constant $=6.626\times 10^{-34}kg{m}^2{s}^{-1}$
Wavelength, $\lambda =\frac{6.626\times 10^{-34}}{200\times 10^{-3}\times \frac{5}{3600}m/sec}$
$=\frac{6.62\times 3600\times 10^{-34}}{1000\times 10^{-3}}$
Order of wavelength $=10^{-30}m$