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Question

Physics Question on physical world

What are the dimensions of electrical conductivity?

A

[ML−3T3I2]\left[M L^{-3} T^{3} I^{2}\right]

B

[M−1L3T2I3]\left[M^{-1} L^{3} T^{2} I^{3}\right]

C

[M−1L−2T3I2]\left[M^{-1} L^{-2} T^{3} I^{2}\right]

D

[M−1L−3T3I]\left[M^{-1} L^{-3} T^{3} I\right]

Answer

[M−1L−2T3I2]\left[M^{-1} L^{-2} T^{3} I^{2}\right]

Explanation

Solution

Conductivity = Length  Resistance × Area =\frac{\text { Length }}{\text { Resistance } \times \text { Area }}
=[L][ML2T−3I−2][L2]=\frac{[L]}{\left[M L^{2} T^{-3} I^{-2}\right]\left[L^{2}\right]}
=[M−1L−3T3I2]=\left[M^{-1} L^{-3} T^{3} I^{2}\right]