Question

If X = e₀L $\frac{\Delta V}{\Delta t}$ here,

e₀ = electrical permittivity of free space

L = length

DV = potential difference Dt = time interval

then the dimensions of X is –

• A. $\lbrack M^{0}L^{0}T^{0}A^{0}\rbrack$
• B. $\lbrack M^{0}L^{0}T^{0}A^{2}\rbrack$
• C. $\lbrack M^{0}L^{0}T^{0}A\rbrack$
• D. None of these

Answer 1

Answer: (C)

$\lbrack M^{0}L^{0}T^{0}A\rbrack$

Answer 2

$\frac{\lbrack M^{- 1}L^{- 3}T^{4}A^{2}\rbrack \times \lbrack L\rbrack \times \lbrack M^{1}L^{2}T^{- 3}A^{- 1}\rbrack}{\lbrack T\rbrack}$= [ A ]