A particle having a mass of 10 milligram has a velocity of 3600 km/hour. Calculate the wavelength of the particle `(h = 6.626 xx 10^(-27) "erg second")`

Options

A. `6.626 xx 10^(-30) cm`
B. `6.626 xx 10^(-31) cm`
C. `6.626 xx 10^(-28) cm`
D. `6.626 xx 10^(-29) cm`

Answer

A

Explanation

`m =10 mg = 10^(-5) kg`
`v =3600 km//"hour"`
`= (3600 xx 1000)/(60 xx 60) =1000 ms^(-1)`
`lambda = (h)/(mv) =(6.626 xx 10^(-34))/(10^(-5) xx 10^(3))`
`= 6.626 xx 10^(-32)m = 6.626 xx 10^(-30) cm`