Question

The wavelength associated with a gold weighing $200g$ and moving at a speed of $5m/h$ is of the order.

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

Answer 1

Answer: (C)

${10}^{-30}m$

$\begin{array}{c}\lambda =\frac{h}{mv}\Rightarrow \frac{6.626\times {10}^{-34}}{200\times {10}^{-3}kg\times \frac{5}{60\times 60}}\Rightarrow \frac{6.626\times 36\times {10}^{-34}}{5\times {10}^{-3}}\\ \lambda =47.70\times {10}^{-31}\Rightarrow 4.770\times {10}^{-30}m\end{array}$

Option C is correct.