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1.Units, Dimensions and Measurement
medium
Dimensional formula of capacitance is
A$ {M^{ - 1}}{L^{ - 2}}{T^4}{A^2}$
B$M{L^2}{T^4}{A^{ - 2}}$
C$ML{T^{ - 4}}{A^2}$
D${M^{ - 1}}{L^{ - 2}}{T^{ - 4}}{A^{ - 2}}$
(IIT-1983)
Solution
(a) $[C] =$ $\left( {\frac{Q}{V}} \right) $ $ = \left( {\frac{{{Q^2}}}{W}} \right) $ $= \left[ {\frac{{{A^2}{T^2}}}{{M{L^2}{T^{ – 2}}}}} \right]$ $ = [{M^{ – 1}}{L^{ – 2}}{T^4}{A^2}]$
Standard 11
Physics
Similar Questions
Match List$-I$ with List$-II$.
| List$-I$ | List$-II$ |
| $(A)$ Angular momentum | $(I)$ $\left[ ML ^2 T ^{-2}\right]$ |
| $(B)$ Torque | $(II)$ $\left[ ML ^{-2} T ^{-2}\right]$ |
| $(C)$ Stress | $(III)$ $\left[ ML ^2 T ^{-1}\right]$ |
| $(D)$ Pressure gradient | $(IV)$ $\left[ ML ^{-1} T ^{-2}\right]$ |
