Question

what is the dimensions of the quantity T=2π√l/g, l being the length and g the acceleration due to gravity​

Answer 1

Answer:

T = 2π√l/√g

as 2π is constant hence it has no dimensions

l - [L]

g - [ L T ^-2 ]

SO,

l/g = [ T ^-2]

√L/g = [ T ]

so dimension of 2π √l/g = [ T ]