The dimensions of electrical conductivity is

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AIIMS BSc NURSING 2023 Memory-Based Paper
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  1. [M-2L-1T2A1]
  2. [M-3LT-2A-1]
  3. [M-1L-3T3A2]
  4. [ML-2A-3T2]

Answer (Detailed Solution Below)

Option 3 : [M-1L-3T3A2]
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AIIMS BSc NURSING 2024 Memory-Based Paper
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Detailed Solution

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CALCULATION:

1. The resistance may be written as

Where W is the work done and I is the current and t is the time

The dimension of R will be given by

2. The resistivity is given by

Where A =Area and l = length

The dimension of resistivity is 

3. As we know, the conductivity is the inverse of resistivity taking the inverse of the dimension of resistivity, then the dimension of electrical conductivity is 

⇒ σ = M-1L-3T3A2

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