Question

using dimensional analysis check the correctness of the equation T= 2pisquare root of l/g where t= time period, l= length and g= accleration due to gravity

Answer 1

T=2π√L/√g
the dimensional unit for the g is L/T²
So puting it in the formula we will get 
⇒T=2π√L/(√L/√T²)
⇒T=2π √T²
⇒T=2πT ⇒T=2π seconds.
Hence proved.

Answer 2

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Time=2π√L/√g

unit for the g is L/T²

by puting it in the formula we will getting

⇒T=2π√L/(√L/√T²)

⇒T=2π √T²

⇒T=2πT ⇒T=2π seconds.

proved.

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