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^(-15) m`
B. `10^(-20)m`
C. `10^(-35)m`
D. `10^(-25)m`

Answer

C

Explanation

`m = 200 g = 200 xx 10^(-3) kg =2 xx 10^(-1) kg`
`v = 5m h^(-1) = (5)/(3600) ms^(-1) = 1.39 xx 10^(-3) ms^(-1)`
`h = 6.625 xx 10^(-34) Js`
`lambda = (h)/(mv) =(6.625 xx 10^(-34))/((2 xx 10^(-1)) xx (1.39 xx 10^(-3)))`
`1= 2.38 xx 10^(-30)m`