COMEDK · Physics · 17. Electrostatics
Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of 45° with each other. When the system is immersed in a liquid of relative density 0.8, the angle between the strings remains unchanged. If the density of the material of the sphere is 2.4 \(\text{gcm}^{-3}\), what is the dielectric constant of the liquid?
- A \(1.6\)
- B \(1.5\)
- C \(0.5\)
- D \(2\)
Answer & Solution
Correct Answer
(B) \(1.5\)
Step-by-step Solution
Detailed explanation
Let the tension in the string be \(T\) and the angle made by each string with the vertical be \(\alpha\). In air, the forces acting on each sphere are the electrostatic force \(F\), the weight \(mg\), and the tension \(T\). For equilibrium, \(T \sin \alpha = F\)…
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