In the Bohr's model of hy drogen atom, the electron moves around the nucleus in a circular orbit of radius `5xx10^(-11) m`. Its time period is `1.5xx10^(-16)s`. The current associated with the electron motion is:-

Options

A. `1.5 xx 10^(-3) m//s^(2)`
B. `3 xx 10^(-3) m//s^(2)`
C. `6 xx 10^(-3) m//s^(2)`
D. `12 xx 10^(-3) m//s^(2)`

Answer

C

Explanation

`a_(c ) = omega^(2)R = ((2pi)/T)^(2) xx R = ((2pi)^(2) xx 1.5 xx 10^(11))/(365 xx 86400)^(2)`
`rArr a_(c ) = 6 xx 10^(-3) m//s^(2)`