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 =y2+a2ky 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 =y2+a2ky
̃M1L2T–2 =L2[k][L]
̃ [k] = [M1L2T–2][L] = Joule × meter