question_answer

Direction: Q.1 to Q.5

According to Ohm's law, the current flowing through a conductor is directly proportional to the potential difference across the ends of the conductor i.e., \[I\propto V\Rightarrow \frac{V}{I}=R\], where R is resistance of the conductor. Electrical resistance of a conductor is the obstruction posed by the conductor to the flow of electric current through it. It depends upon length, area of cross-section, nature of material and temperature of the conductor. We can write, \[R\propto \frac{l}{A}\] or \[R=\rho \frac{l}{A}\],where \[\rho \] is electrical resistivity of the material of the conductor.

Read the above passage carefully and give the answer of the following questions.

Dimensions of electric resistance is:

A) \[[M{{L}^{2}}{{T}^{-2}}{{A}^{-2}}]\]        

B) \[[M{{L}^{2}}{{T}^{-3}}{{A}^{-2}}]\]

C) \[[{{M}^{-1}}{{L}^{-2}}{{T}^{-1}}A]\]                   

D) \[[{{M}^{-1}}{{L}^{2}}{{T}^{2}}{{A}^{-1}}]\]