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Question

Question: What is the unit of k in the relation U =\(\frac{ky}{y^{2} + a^{2}}\) where U represents the potenti...

What is the unit of k in the relation U =kyy2+a2\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 ?

A

m s–1

B

m s

C

J m

D

J s–1

Answer

J m

Explanation

Solution

U =kyy2+a2\frac{ky}{y^{2} + a^{2}}

̃M1L2T–2 =[k][L]L2\frac{\lbrack k\rbrack\lbrack L\rbrack}{L^{2}}

̃ [k] = [M1L2T–2][L] = Joule × meter