Home
Class 12
PHYSICS
A conducting body 1 has some initial cha...

A conducting body `1` has some initial charge `Q`, and its capacitance is `C`. There are two other caoducting bodies, `2` and `3`, having capacitances `:C_(2)=2C` and `C_(3)rarr oo`. Bodies `2` and `3` are initially uncharged. ''Body `2` is touched with body `1`. Then, body `2` is removed from body `1` and touched with body `3`, and times. Then, the charge on body `1` at the end must be

A

`Q//3^(N)`

B

`Q//3^(N-1)`

C

`Q//N^(3)`

D

None

Text Solution

Verified by Experts

The correct Answer is:
A
When we touched first time charge on first capacitor beacomes `(Q)/(3)` and on second capacitor it becomes `(2Q)/(3)` But when `2C` is touched with `C rarroo` it becomes uncharged so after first operation.
`Q_(1) = (Q)/(3)`
after `II^(nd)` operation `Q_(2) = (1)/(3) ((Q)/(3)) = (Q)/(3^(2))`
so after `N^(th)` operation `Q_(N) = (Q)/(3^(N))`
Promotional Banner

Similar Questions

Explore conceptually related problems

A body A repels another body B, A attracts body C, C repels body D. It is given that body D is positively charged. What is the charge on body B.

Consider two bodies A and B of sasme capacitance. If charge of -10 C flows from body A to body B , then

From a metallic charged body a current is drawn. The rate of increase of current at an instant is equal to the charge on the body at that instant. If the initial charge on the body is Q

If the charge on a body is increased by an amount of 6C ,the energy stored in it increases by 44% .The original charge on the body ?

A body of mass 20 kg is kept initially at rest. A force of 80 N is applied on the body then the acceleration produced in the body is 3 m//s^(2) , force of friction acting on the body is :

If a charge on the body is 1 nC , then how many electrons are present on the body?

Body A of mass M is dropped from a height of 1 m and body. B of mass 3M is dropped from a height of 9 m. The ratio of time taken by the bodies 1 and 2 to reach the ground is

The displacement of body is given by s = 4 + 2t^4 . The acceleration of the body at the end of 1 s from the start is :

Ions of NaCl which are touched by 1 body diagonal are