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Q.

A conservative force is given by the function F=Kr2, K is a constant. If potential energy is zero at  r=r0, then potential energy at r=∞ is

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a

kr0

b

k2r0

c

−kr0

d

−k2r0

answer is C.

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Detailed Solution

∫dU=−∫F→⋅dr→⇒∫0U dU=−∫0∞ kr2[U]0U∞=−K−1rr0∞⇒U∞−0=K−1∞+1r0U∞=−Kr0
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