Question

The dimensional representation of specific resistance in terms of charge Q is 
1. [ML³T^-1Q^-2]
2. [ML²T^-2Q^-2]
3. [MLT^-2Q^-1]
4. [ML²T^-2Q^-1]

Answer 1

Correct Answer - Option 1 : [ML³T^-1Q^-2]

Specific resistance, \(\rho = \frac{{WAt}}{{{q^2}l}}\)

Now, putting dimensions of each term, we get \(\left[ \rho \right] = \frac{{\left[ {M{L^2}{T^{ - 2}}} \right]\left[ {{L^2}} \right]\left[ T \right]}}{{[{Q^2}]\left[ L \right]}}\)

 We get, \(\rho = \left[ {M{L^3}{T^{ - 1}}{Q^{ - 2}}} \right]\)