Electrostatics Question 2

Question 2 - 2024 (01 Feb Shift 2)

$\mathrm{C}{1}$ and $\mathrm{C}{2}$ are two hollow concentric cubes enclosing charges $2 \mathrm{Q}$ and $3 \mathrm{Q}$ respectively as shown in figure. The ratio of electric flux passing through $C_{1}$ and $C_{2}$ is:

(1) $2: 5$

(2) $5: 2$

(3) $2: 3$

(4) $3: 2$

Show Answer

Answer: (1)

$\phi_{\text {smaller cube }}=\frac{2 \mathrm{Q}}{\epsilon_{0}}$

$\phi_{\text {bigger cube }}=\frac{5 \mathrm{Q}}{\epsilon_{0}}$

$\frac{\phi_{\text {smaller cube }}}{\phi_{\text {bigger cube }}}=\frac{2}{5}$