KVPY SA Exam 2014 Question Paper

Question : 18 of 80

Marks: +1, -0

Two positively charged spheres of masses m

_1

, and m

_2

are suspended from a common point at the ceiling by identical insulating massless strings of length l. Charges on the two spheres are

q_1

and

q_2

, respectively. At equilibrium both strings make the same angle,θ with the vertical. Then

Solution:

for equilibrium of

m_1

T_1 \cosθ = m_1 g

T_1 \sinθ = F

\tan θ =F/ {m_1 g}

...(1)
For equilibrium of m

_2

T_2 \cos θ = m_2 g

T_2 \sin θ = F

\tan θ =F/{ m _2g}

...(2)
from (1) & (2)

m_1 = m_2

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