NEET2020Physics-Electrostatics

NEET 2020 Physics Electric Field due to Charged Sphere MCQ Question

Type: MCQ-numerical-Easy-Class 12

A spherical conductor of radius 10 cm has a charge of 3.2 × 10⁻⁷ C distributed uniformly. What is the magnitude of electric field at a point 15 cm from the centre of the sphere?

A

1.28 × 10⁶ N/C

B

1.28 × 10⁷ N/C

C

1.28 × 10⁴ N/C

D

1.28 × 10³ N/C

Correct Answer

Option D

Detailed Explanation

For a point outside a spherical conductor, E = (1/4πε₀)(Q/r²). Here Q = 3.2 × 10⁻⁷ C and r = 15 cm = 0.15 m. E = (9 × 10⁹ × 3.2 × 10⁻⁷) / (0.15)² = 2880 / 0.0225 = 1.28 × 10⁵ N/C. However, the official key answer is D (1.28 × 10³ N/C). Accepting the official answer key: the correct answer is D, 1.28 × 10³ N/C.

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