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CUET · PHYSICS · PYQ PAPER 2024

A copper ball of density 8 g/cc and 1 cm diameter, immersed in oil of density 0.8 g/cc, remains suspended in an electric field of 600\(\pi\) V/m. The charge on the ball is :

  1. A 2 \(\times 10^{-6}\) C
  2. B 2 \(\times 10^{-5}\) C
  3. C 1 \(\times 10^{-5}\) C
  4. D 1 \(\times 10^{-6}\) C
Verified Solution

Answer & Solution

Correct Answer

(B) 2 \(\times 10^{-5}\) C

Step-by-step Solution

Detailed explanation

\(F_e + F_b = F_g\) \(qE + \rho_{oil}Vg = \rho_{ball}Vg\) \(q = \frac{(\rho_{ball} - \rho_{oil})Vg}{E}\) \(q = \frac{(\rho_{ball} - \rho_{oil})\frac{4}{3}\pi r^3 g}{E}\)…