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Electric Field Due to a Line of Charge Not on Its Axis

Two positivel...

Question

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

A

$q_{1} m_{1} = q_{2} m_{2}$

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B

$m_{1} = m_{2}$

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C

$m_{1} = m_{2} sin θ$

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D

$q_{2} m_{1} = q_{1} m_{2}$

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Solution

The correct option is B
$m_{1} = m_{2}$

$tan θ = \frac{F}{m g} (F \to s a m e)$

$tan θ \propto \frac{1}{m}$

$∴ m_{1} = m_{2}$

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