Question

T=2π√l/g dimensional analysis​

Answer 1

Explanation:

• Dimensions of RHS- M°L°T
• Dimensions of Acc due to gravity-M°LT^-2
• Dimensions of Length-M°LT°

so we get :-

$2\pi \sqrt{l \g }$

2π will be ignored as it is constant.

=> √(M°LT°/M°LT^-2)

$\sqrt{l \l {t}^{ - 2} }$

=>√T^2

=> T = M°L°T

hence proved!