MHT CET202314 May 2023Morning ShiftPhysicsElectrostaticsActual
A conducting sphere of radius 0.1 ~m has uniform charge dénsity 1.8 C / m ^2 on its surface. The electric field in free space at radial distance 0.2 ~m from point on the surface is ( ₀= permittivity of free space)
Options
- A6 10⁻⁶ ₀ Vm ⁻¹
- B6 10⁻⁸ ₀ Vm ⁻¹
- C2 10⁻⁷ ₀ Vm ⁻¹
- D1 10⁻⁷ ₀ Vm ⁻¹
Correct answer
C. 2 10⁻⁷ ₀ Vm ⁻¹
Step-by-step solution
aligned q & = A = r ^2 E & = 1 4 ₀ q d ^2 = 1 4 ₀ r ^2 ~d ^2 & = 1 4 ₀ 1.8 10⁻⁶ 10⁻² 4 10⁻² E & = 1.125 10⁻⁷ ₀ 2 10⁻⁷ ₀ Vm ⁻¹ aligned