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Three charges +q, +2q and 4q are connect...

Three charges `+q, +2q` and `4q` are connected by strings as shown in the figure.What is ratio of tensions in the strings `AB` and `BC`

A

`1:2`

B

`1:3`

C

`2:1`

D

`3:1`

Text Solution

Verified by Experts

The correct Answer is:
B
From equilibrium of charge `q`,
`k[(2q^(2))/(a^(2))+(4q^(2))/(4d^(2))]= T_(AB)implies T_(AB)= (3kq^(2))/(d^(2))`
From equilibrium of charge `4q`,
`k[(8q^(2))/(d^(2))+(4q^(2))/(4d^(2))]=T_(BC)implies T_(BC)= (9kq^(2))/(d^(2))` Thus `(T_(AB))/(T_(BC))= (1)/(3)`
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