The de Broglie wavelength associated with a ball of mass 200 g and moving at a speed of 5 metres/hour, is of the order of (`h = 6.625xx10^(-34)`J s) is

Options

A. `10^(-10)m`
B. `10^(-20)m`
C. `10^(-30)m`
D. `10^(-40)m`

Answer

C

Explanation

`m = 200 g = 0.2 kg`
`v = 5 m h^(-1) = (5)/(60 xx 60) m s^(-1) = 0.00139 m s^(-1)`
`lambda = (h)/(mv) = (6.626 xx 10^(-34))/(0.2 xx 0.00139) = 2.3 xx 10^(-30)m `