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NEET PHYSICSEasy

The potential energy of a long spring when stretched by 2 cm2 \text{ cm} is UU. If the spring is stretched by 8 cm8 \text{ cm}, potential energy stored in it will be

A

2\U2 \U

B

4\U4 \U

C

8\U8 \U

D

16\U16 \U

Step-by-Step Solution

Potential energy of a spring U=12kx2U = \frac{1}{2}kx^2. Thus Ux2U \propto x^2. If xx increases from 2 cm2 \text{ cm} to 8 cm8 \text{ cm} (a factor of 4), the energy increases by a factor of 42=164^2 = 16. So, new energy is 16U16U.

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