Question:

A long string is stretched by 2 cm and the potential energy is V. If the spring is stretched by 10 cm, its potential energy will be

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Spring potential energy varies as the square of extension.
Updated On: Mar 18, 2026
  • V/25
  • V/5
  • 5V
  • 25V
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The Correct Option is D

Solution and Explanation


Step 1:
Potential energy of a spring is U = (1)/(2)kx².
Step 2:
Ratio of extensions = (10)/(2) = 5.
Step 3:
Hence, (U₂)/(U₁) = 5² = 25 U₂ = 25V
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