A small bob of mass \( 100 \, \mathrm{mg} \) and charge \( +10 \, \mu\mathrm{C} \) is connected to an insulating string of length \( 1 \, \mathrm{m} \). It is brought near to an infinitely long non-conducting sheet of charge density ‘\( \sigma \)’ as shown in figure. If string subtends an angle of \( 45^\circ \) with the sheet at equilibrium the charge density of sheet will be. (Given, \( \varepsilon_{0} = 8.85 \times 10^{-12} \, \mathrm{} \)
and acceleration due to gravity, \( g = 10 \, \mathrm{m/s^{2}} \) )
