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Physics · PYQ NEET UG 2020

हिन्दी

A spherical conductor of radius \( 10\text{ cm} \) has a charge of \( 3.2 \times 10^{-7}\text{ C} \) distributed uniformly. What is the magnitude of electric field at a point \( 15\text{ cm} \) from the centre of the sphere? (\( \frac{1}{4\pi\varepsilon_0} = 9 \times 10^9\text{ Nm}^2/\text{C}^2 \))

  1. \( 1.28 \times 10^{5}\text{ N/C} \)
  2. \( 1.28 \times 10^{6}\text{ N/C} \)
  3. \( 1.28 \times 10^{7}\text{ N/C} \)
  4. \( 1.28 \times 10^{4}\text{ N/C} \)

Correct answer · Option 1

\( 1.28 \times 10^{5}\text{ N/C} \)

Explanation

\( E = \frac{1}{4\pi\varepsilon_0} \frac{q}{r^2} = \frac{9 \times 10^9 \times 3.2 \times 10^{-7}}{(0.15)^2} = 1.28 \times 10^5\text{ N/C} \).
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