Two points P and Q are maintained at the potentials of 10 V and -4 V, respectively. The work done in moving 100 electrons from P to Q is: (a) 9.60 × 10⁻¹⁷ J (b) -2.24 × 10⁻¹⁶ J (c) 2.24 × 10⁻¹⁶ J (d) -9.60 × 10⁻¹⁷ J

Answer: (c). W = q(VQ - VP) with q = -100e = -1.6×10⁻¹⁷ C. VQ - VP = -4 - 10 = -14 V W = (-1.6×10⁻¹⁷)(-14) = 2.24×10⁻¹⁶ J So the answer is (c).

Two points P and Q are maintained at the potentials of 10 V and -4 V… | JEE Main 2009 (AIEEE)

Q57JEE Main 2009 · AIEEEEasy

Electrostatic Potential Energy

Two points $P$ and $Q$ are maintained at the potentials of $10\text{ V}$ and $-4\text{ V}$ , respectively. The work done in moving $100$ electrons from $P$ to $Q$ is:

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Answer: (c)

$W = q(V_Q - V_P)$ with $q = -100e = -1.6\times10^{-17}$ C.
$V_Q - V_P = -4 - 10 = -14$ V
$W = (-1.6\times10^{-17})(-14) = 2.24\times10^{-16}$ J
So the answer is (c).

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