Physical World Units and Measurements - Result Question 17
17. 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
(a) $[ML^{2} T^{-2}]$
(c) $[ML^{2} T^{-3} I^{-2}]$
(b) $[ML^{2} T^{-1} I^{-1}]$
(d) $[ML^{2} T^{-3} I-1]$
[2007]
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Answer:
Correct Answer: 17. (c)
Solution:
- (c) As we know that
$R=\frac{[V]}{[I]}=\frac{w}{q \cdot i}=\frac{w}{i \cdot t \cdot i}$
Dimension of Resistance
$=\frac{[ML^{2} T^{-3} I^{-1}]}{[T][I]}=[ML^{2} T^{-3} I^{-2}]$
