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Question

Question: The dimensional formula of electric flux is....

The dimensional formula of electric flux is.

A

[M1L1T2]\lbrack M^{1}L^{1}T^{- 2}\rbrack

B

[M1L3T3A1]\lbrack M^{1}L^{3}T^{- 3}A^{- 1}\rbrack

C

[M2L2T2A2]\lbrack M^{2}L^{2}T^{- 2}A^{- 2}\rbrack

D

[M1L3T3A1]\lbrack M^{1}L^{- 3}T^{3}A^{1}\rbrack

Answer

[M1L3T3A1]\lbrack M^{1}L^{3}T^{- 3}A^{- 1}\rbrack

Explanation

Solution

: Electric flux, φ=E.ds\varphi = \int_{}^{}{\overrightarrow{E}.d\overrightarrow{s}}

The dimension of φ=\varphi =Dimension of E × dimension of dsd\overrightarrow{s}

=[M1L1T2][L2][AT]1= \lbrack M^{1}L^{1}T^{2}\rbrack\lbrack L^{2}\rbrack\lbrack AT\rbrack^{- 1} =[M1L3T3A1]= \lbrack M^{1}L^{3}T^{3}A^{- 1}\rbrack