The dimensional formula of linear charge density λ is

Question

The dimensional formula of linear charge density λ is (A) [ M -1 L -1 T +1 A ] (B) [ M 0 L -1 T +1 A ] (C) [ M -1 L -1 T +1 A -1] (D) [ M 0 L -1 T +1 A -1]

Tardigrade Admin · Accepted Answer

Linear charge density (λ)=(Q/L) λ=([A T]/[L])=[ M 0 L -1 T 1 A 1]

Q. The dimensional formula of linear charge density $λ$ is

$[M^{- 1} L^{- 1} T^{+ 1} A]$

$[M^{0} L^{- 1} T^{+ 1} A]$

$[M^{- 1} L^{- 1} T^{+ 1} A^{- 1}]$

$[M^{0} L^{- 1} T^{+ 1} A^{- 1}]$

Linear charge density $(λ) = \frac{Q}{L}$
$λ = \frac{[ A T ]}{[ L ]} = [M^{0} L^{- 1} T^{1} A^{1}]$

Q. The dimensional formula of linear charge density λ is

[M−1L−1T+1A]

[M0L−1T+1A]

[M−1L−1T+1A−1]

[M0L−1T+1A−1]