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CUET · PHYSICS · PYQ PAPER 2025

A system consists of two protons and one electron. They are separated by a distance of 1 \(\text{\AA}\) from each other. If the potential energy at infinity is taken to be zero, the potential energy of the system is

  1. A -13.6 eV
  2. B -14.4 eV
  3. C -16.2 eV
  4. D -19.2 eV
Verified Solution

Answer & Solution

Correct Answer

(B) -14.4 eV

Step-by-step Solution

Detailed explanation

\(U = \frac{k(+e)(+e)}{r} + \frac{k(+e)(-e)}{r} + \frac{k(+e)(-e)}{r}\) \(U = -\frac{ke^2}{r}\) \(U = -\frac{(8.9875 \times 10^9)(1.602 \times 10^{-19})^2}{1 \times 10^{-10}} \, \text{J}\) \(U = -2.3069 \times 10^{-18} \, \text{J}\)…