MCQ
A spring with spring constant k when stretched through $1\, cm$, the potential energy is $U$. If it is stretched by $4 \,cm.$ The potential energy will be
  • A
    $4U$
  • B
    $8U$
  • $16 U$
  • D
    $2U$

Answer

Correct option: C.
$16 U$
c
(c)Potential energy $U = \frac{1}{2}k{x^2}$
$U \propto {x^2}$[if k = constant]
If elongation made $4$ times then potential energy will become $16\, times$.

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