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Physics · GRAVITATION

हिन्दी

Four identical particles, each of mass \( m \), are placed at the vertices of a square of side \( l \). The work required to double each side of the square while maintaining its square configuration is:

  1. \( 5.41 \frac{G m^2}{l} \)
  2. \( 2.705 \frac{G m^2}{l} \)
  3. \( 1.35 \frac{G m^2}{l} \)
  4. \( 10.82 \frac{G m^2}{l} \)

Correct answer · Option 2

\( 2.705 \frac{G m^2}{l} \)

Explanation

Initial potential energy is \( U_i = -5.41 \frac{G m^2}{l} \). When side becomes \( 2l \), \( U_f = -\frac{5.41 G m^2}{2l} \). Work done \( W = U_f - U_i = \frac{5.41}{2} \frac{G m^2}{l} \approx 2.705 \frac{G m^2}{l} \).
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