[ ML2T-3I-1 ] is the dimension of

Question

[ ML2T-3I-1 ] is the dimension of (A) electric field (B) capacity (C) potential (D) permittivity

Tardigrade Admin · Accepted Answer

We know that Potential V=( text energy (Q)/ text charge (q)) Dimensions of energy (Q)=[ ML 2 T -2] Dimensions of charge (q)=[ IT ] ∴ Dimensions of potential V=([ ML 2 T -2]/[ IT ]) Dimension's of potential V=[ ML 2 T -3 I -1]

Q. $[M L^{2} T^{- 3} I^{- 1}]$ is the dimension of

electric field

capacity

potential

permittivity

We know that
Potential $V = \frac{energy ( Q )}{charge ( q )}$
Dimensions of energy $(Q) = [M L^{2} T^{- 2}]$
Dimensions of charge $(q) = [I T]$
$∴$ Dimensions of potential $V = \frac{[ M L ^{2} T ^{- 2} ]}{[ I T ]}$
Dimension's of potential $V = [M L^{2} T^{- 3} I^{- 1}]$

Q. [ML2T−3I−1] is the dimension of