The velocity of a wave is given by v=Tμ+ax2v = \sqrt{\frac{T}{\mu}} + ax^2v=μT+ax2, where TTT is tension, μ\muμ is linear density, and xxx is displacement. What are the dimensions of aaa?
[LT⁻¹]
[L⁻¹T⁻¹]
[L²T⁻¹]
[LT⁻²]
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