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MHT CET 2024 (4 May, Shift 1) · Electric Potential & Equipotentials

Electric Potential & Equipotentials question from MHT CET 2024 (4 May, Shift 1)

Q53MHT CET 2024 · 4 MAY · SHIFT 1Medium

Electric Potential & Equipotentials

A metallic sphere ' A ' isolated from ground is charged to $+50\,\mu\text{C}$ . This sphere is brought in contact with other isolated metallic sphere ' $B$ ' of half the radius of sphere ' $A$ '. Then the charge on the two isolated spheres A \& B are in the ratio

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Answer: (b)

On contact both spheres reach the same potential: $\frac{kq_A}{r_A} = \frac{kq_B}{r_B} \Rightarrow q \propto r$ .
$r_B = \frac{r_A}{2} \Rightarrow q_A : q_B = r_A : r_B = 2 : 1$
So the answer is (b) $2 : 1$ .

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