Question 158: Units , Dimensions and Error Analysis

Question

If 'C' and 'V' represent capacity and voltage respectively then what are the dimensions of $$\lambda$$ where C/V = $$\lambda$$ ?

Accepted Answer

$$\lambda  = {C \over V} = {{Q/V} \over V} = {Q \over {{V^2}}}$$
$$V = {{work} \over Q}$$
$$\lambda  = {{{Q^3}} \over {{{(work)}^2}}} = {{{{(It)}^3}} \over {{{(F.s)}^2}}}$$
$$ = {{\left[ {{I^3}{T^3}} \right]} \over {{{\left[ {M{L^2}{T^{ - 2}}} \right]}^2}}} = [{M^{ - 2}}{L^{ - 4}}{I^3}{T^7}]$$

Answer

$$[{M^{ - 3}}{L^{ - 4}}{I^3}{T^7}]$$

Answer

$$[{M^{ - 2}}{L^{ - 3}}{I^2}{T^6}]$$

Answer

$$[{M^{ - 2}}{L^{ - 4}}{I^3}{T^7}]$$

Answer

$$[{M^{ - 1}}{L^{ - 3}}{I^{ - 2}}{T^{ - 7}}]$$

Units , Dimensions and Error Analysis

If 'C' and 'V' represent capacity and voltage respectively then what are the dimensions of $\lambda where C/V = \lambda$ ?

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