1.

Three positive point charges q_1,q_2,and q_3 form an isolated system. Suppose the charges have generated a property due to which like charges also attract. The charges are moving along a circle with same speed maintaining angles as shown in the figure. The charge q_1 experiences a force f_1 due to other two charges. Similarly, q_2 experiences a force f_2 and q_3, a force f_3. The ratio of f_1:f_2:f_3 is

Answer»

`1:1:1`
`q_1:q_2:q_3`
`1:sqrt3:2`
This ratio cannot be calculated

SOLUTION :Since the charges EXERT force on one another that are in action-reaction pair, sum of forces `overset(rarr)f_(1),overset(rarr)f_(2),`and `overset(rarr)f_(3)` is zero. So force VECTORS from a triangle, as shown in the figure

Applying sinc rule, we have `(f_(1))/(SIN30)=(f_(2))/(sin60)=(f_(3))/(sin90)`
or `2f_(1)=(2f_(2))/(sqrt(3))=K` (suppose)
`f_(1)=(K)/(2),f_(2)=(sqrt(3))/(2)K,f_(3)=K`
So `f_(1):f_(2):f_(3)=(1)/(2):(sqrt(3))/(2):1=1:sqrt(3):2`


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