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1.Units, Dimensions and Measurement
medium
Dimensional formula of resistivity is
A$\left[ {M{L^2}{A^{ - 2}}{T^{ - 3}}} \right]$
B$\left[ {M{L^3}{A^{ - 2}}{T^{ - 3}}} \right]$
C$\left[ {ML{A^{ - 2}}{T^{ - 3}}} \right]$
D$\left[ {M{L^3}{A^{ - 1}}{T^{ - 3}}} \right]$
Solution
Resistivity $=\frac{\text { Resistance } \times \text { Area }}{\text { Length }}$
$=\frac{M L^{2} T^{-3} A^{-2} \times L^{2}}{L}=\left[M L^{3} T^{-3} A^{-2}\right]$
$=\frac{M L^{2} T^{-3} A^{-2} \times L^{2}}{L}=\left[M L^{3} T^{-3} A^{-2}\right]$
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 | $(IV)$ $\left[ ML ^{-1} T ^{-2}\right]$ |