Find the dimensions of the quantity q from the expression `T = 2pi sqrt((ml^3)/(3Yq)),` where T is time period of a bar of length l, mass m and Young's modulus Y.

Explanation

Here, `T = 2pi sqrt((ml^3)/(3Yq))`
`:. T^2 = 4pi^2(ml^3)/(3Yq) or q = (4pi^2 ml^3)/(3Y. T^2)`
`q = (ML^3)/((ML^(-1) T^(-2))T^2) = [L^4]`