Find the dimensions of the quantity q from the expression : `T = 2pi sqrt((ml^3q)/(5Y)),` Where T is tiem period of a bar of length I, mass m and Young's modulus Y.

Explanation

The given expression is
`T = 2 pisqrt((ml^3q)/(5Y))`
Squaring both sides, we get
`T^2 = 4pi^2 = (ml^3q)/(5Y)`
`q = (5YT^2)/(4pi^2 ml^3)`
`q = (ML^(-1)T^(-2)T^2)/(ML^3)`
`q = [ M^0 L^(-4)]`