A macroscopic particle of mass 100 g and moving at a velocity of `100 cm s^(-1)` will have a de Broglie wavelenght of

Options

A. `6.6 xx 10^(-29)` cm
B. `6.6 xx 10^(-30)`cm
C. `6.6 xx 10^(-31)`cm
D. `6.6 xx 10^(-32)`cm

Answer

C

Explanation

`m = 100g = 100 xx 10^(-3) kg`
`V = 100 cm s^(-1) - 100 xx 10^(-2) ms^(-1)`
`lambda = (lambda)/(mV)`
`= (6.626 xx 10^(-34) JS^(-1))/(100 xx 10^(-31) Kg xx 100 xx 10^(-2) ms^(-1))`
`= 6.626 xx 10^(-31) ms^(-1)`
`= 6.626 xx 10^(-31) cm s^(-1)`.