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Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and of current I, would be [2007]
  • a)
    ML2T–2
  • b)
    ML2T–1I–1
  • c)
    ML2T–3I–2
  • d)
    ML2T–3I–1
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Dimensions of resistance in an electrical circuit, in terms of dimensi...
The dimensions of resistance in an electrical circuit can be derived using Ohm's Law, which states that resistance (R) is equal to voltage (V) divided by current (I):

R = V/I

The dimensions of voltage can be represented as [ML2T-3I-1] (mass, length, time, and current), and the dimensions of current can be represented as [I] (current).

Therefore, the dimensions of resistance can be determined by dividing the dimensions of voltage by the dimensions of current:

[R] = [ML2T-3I-1] / [I]

Simplifying this expression:

[R] = [ML2T-3]

Therefore, the dimensions of resistance in an electrical circuit, in terms of mass (M), length (L), time (T), and current (I), would be a) ML2T.
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Dimensions of resistance in an electrical circuit, in terms of dimensi...
We know, resistance = potential difference%charge                                                                                                    =workdone%(current * charge )     [potential diff=workdone%current                                            = [ML^2T^-2]%[IT]*[I]                                                                                                                   = [[ML^2T^-3I^-2]
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Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and of current I, would be [2007]a)ML2T–2b)ML2T–1I–1c)ML2T–3I–2d)ML2T–3I–1Correct answer is option 'C'. Can you explain this answer?
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