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`

Options

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

Answer

C

Explanation

Speed of golf ball, `v = 5m//h = (5m)/(60 xx 60s)`
`= 1//720 ms^(-1)`
Mass of golf ball, `m = 200 g = 0.2 kg`
`lambda = (h)/(mv) = (6.6 xx 10^(-34) Js)/((1//720 ms^(-1))xx(0.2 kg))`
`= (6.6 xx 10^(-34) xx 720 xx 10)/(2)`
`= 6.6 xx 0.36 xx 10^(-30) m`