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CBSE Class 12-science Answered

two bodies of masses m,2m and charges q and 2q ,q is hanged with two strings of equal length 'l' as shown. which one of the following is correct.
Asked by pushpakumari291279 | 25 May, 2021, 07:26: AM
Expert Answer
Figure shows the forces acting on masses m and 2m .
Tension forces T1 and T2 are resolved in horizontal and vertical directions as shown in figure.
Equal repulsive electrostatic forces FE are acting on the masses.
 
At equilibrium , T1 sinθ1 = F = K × ( 2q2 / r2 ) ................(1)
 
T1 cosθ1 = mg  ........................(2)
 
By dividing eqn.(1) by eqn.(2) , we get , tanθ1 = [ K × ( 2q2 / r) ] / ( mg ) .......................(3)
 
Similarly for mass 2m , we get , tanθ= [ K × ( 2q2 / r) ] / ( 2mg ) .......................(4)
 
From eqn.(3) and eqn.(4) , we get ,  tanθ1 = 2 tanθ
 
Hence θ1 > θ2
 
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