Three metallic spheres A, B and C having radii are in ratio` 1 : 2 : 3`. Charge on sphere A is 6 `mu C` and sphere B and C are electrically neutral. If sphere A first contact with sphere B and then from C and ultimately contact from sphere B, then now charge on spheres A, B and C respectively will be-

Options

A. `(3)/(2)muC, (3)/(2)muC, 3 mu C`
B. `1muC, 2 muC, 3 mu C`
C. `(3)/(2)muC, 3 muC, (3)/(2)muC`
D. `3 muC, 2 muC, 1 muC`

Answer

C

Explanation

`R_(A) :R_(B) : R_(C ) : : 1:2:3`
`q_(A) = 6 mu C`, when A & B in contact
`(qA_(1))/(qB_(1)) =(1)/(2) & q_(AI)+q_(BI) = 6 muC`
So, ` q_(AI) = 2 muC, q_(BI) = 4 muC`
Now A & C are in contact
`q_(A)+q_(C2) = 2 muC , (q_(A_(2))) /(q_(C_(2))) = (1)/(3)`
So, `q_(A_(2)) = (1)/(2), qC_(2) = (3)/(2)`
Now A & B in contact `q_(A3)+q_(B3) =(1)/(2) ` So ` q_(A3) = (3)/(2) , q_(B3)=3`