Question

Find the wavelength associated with a golf ball weighing 200 gm and moving at speed of 5 m/h .

Answer 1

$$\begin{gathered} \mathbf{Mass}\mathbf{}\mathbf{of}\mathbf{}\mathbf{the}\mathbf{}\mathbf{ball}\mathbf{:} \\ \mathbf{m}\mathbf{=}\mathbf{200}\mathbf{}\mathbf{g} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{2}\mathbf{}\mathbf{kg} \\ \mathbf{Speed}\mathbf{:} \\ \mathbf{v}\mathbf{=}\mathbf{5}\mathbf{}\mathbf{m}\mathbf{/}\mathbf{h} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{5}}{\mathbf{3600}\mathbf{}}\mathbf{m}\mathbf{/}\mathbf{s} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{1}}{\mathbf{720}}\mathbf{m}\mathbf{/}\mathbf{s} \\ \mathbf{Debroglie}\mathbf{}\mathbf{wavelength}\mathbf{:} \\ \mathbf{\lambda }\mathbf{=}\frac{\mathbf{h}}{\mathbf{mv}} \\ \mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{6}\mathbf{.}\mathbf{6}\mathbf{\times }{\mathbf{10}}^{\mathbf{-}\mathbf{34}}}{\mathbf{0}\mathbf{.}\mathbf{2}\mathbf{\times }\frac{\mathbf{1}}{\mathbf{720}}} \\ \mathbf{}\mathbf{}\mathbf{=}\mathbf{2}\mathbf{.}\mathbf{4}\mathbf{\times }{\mathbf{10}}^{\mathbf{-}\mathbf{30}}\mathbf{}\mathbf{m} \end{gathered}$$