Question

verify that T = 2π√l/g

Answer 1

2π is dimension less constant

Dimension :- Representation of any physical quantity with respect to the fundamental units is called dimension or dimensional formula.

Dimension analysis :- It a increase or decrease in power of the fundamental units to represent any physical quantity is called dimension analysis

Dimension equation :- The result obtained by equating the dimension with it's respective quantity.

Law of homogeniety :- According to the law of homogeniety dimension equation must have the same dimension both side i.e

T = 2π√l/g
[ T ] = 2π(l/g)^1/2
[ T ] = 2π[ L/LT^-2]^1/2
[ T ] = 2π[ (L^1-1) × T² ]^1/2
[ T ]. = 2π[ L^0 × T² ]^1/2
[ T ]. = 2π[ T² ]^1/2
[ T ]. = 2π[ T ]

so both side have same dimension so it is right equation

Answer 2

Answer:

Here is ur answer