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What is the unit of k in the relation
$U = \frac{ky}{y^{2} + a^{2}}$
where U represents the potential energy, y represents the displacement and a represents the maximum displacement i.e., amplitude?

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m s

m s^-1

J s^-1

J m

answer is C.

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Detailed Solution

Here, $k = \frac{U [y^{2} + a^{2}]}{y} = \frac{J m^{2}}{m} = J m .$

Hence correct choice is (3).

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