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CBSE Class 12-science Answered

Two pith-balls each wieghing 10-3 kg are suspended from the same point by means of silk thread 0.5 m long. On charging the pith balls equally, they found to repel each other to distance of 0.2 m .Calculate the charge on each ball?
Asked by govtsecschoolnayaganv051 | 27 Jun, 2019, 08:49: PM
answered-by-expert Expert Answer
 
Figure shows the different forces acting on the pith-ball, i.e., Tension T in string, weight mg of the ball
and electrostatic force Fe .
 
By resolving Tension force, we write,  T sinθ = Fe ....................(1)
                                                            T cosθ = m g  .........................(2)
 
 dividing (1) by (2),  we get , tanθ = Fe / mg
 
Hence if q is charge on each ball, then  begin mathsize 14px style F subscript e space equals space fraction numerator q squared over denominator 4 πε subscript straight o open parentheses 0.2 close parentheses squared end fraction space equals space 10 to the power of negative 3 end exponent cross times 9.8 cross times fraction numerator 1 over denominator square root of 24 end fraction end style ..................(3)
Using eqn.(3)  and substituting 1/(4πεo ) = 9×109 , we get  q ≈ 0.94×10-7C  = 94 nC
Answered by Thiyagarajan K | 28 Jun, 2019, 05:35: PM

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