Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electric Charges and Fields

Question:

An uncharged solid metallic sphere with two cavities is placed with centre of sphere at origin. Cavities have centres $C_1\left(0, \frac{3 R}{4}, 0\right)$ and $C_2\left(0, \frac{-3 R}{4}, 0\right)$ with same point charge Q placed at centres of cavities. Intensity of the field at point $P\left(\frac{3 R}{2}, 0,0\right)$ is

Options:

$\frac{1}{4 \pi \varepsilon_0} \frac{2 Q}{9 R^2}$

$\frac{1}{4 \pi \varepsilon_0} \frac{8 Q}{9 R^2}$

$\frac{1}{4 \pi \varepsilon_0} \frac{32 Q}{45 \sqrt{3} R^2}$

$\frac{1}{4 \pi \varepsilon_0} \frac{16 Q}{9 \sqrt{5} R^2}$

Correct Answer:

$\frac{1}{4 \pi \varepsilon_0} \frac{8 Q}{9 R^2}$