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Units and Measurement question

2007 · Q153
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Units and Measurement question

2007 · Q153

NEETPhysicsUnits and MeasurementMCQ+4 / −1
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
  1. A
    [ML2T−-−2]
  2. B
    [ML2T−-−1I−-−1]
  3. C
    [ML2T−-−3I−-−2]
  4. D
    [ML2T−-−3I−-−1]
View written solutionFree

Correct answer: C

We know,

R=VIR = {V \over I}R=IV​

∴\therefore∴ [R]=[V][I]\left[ R \right] = {{\left[ V \right]} \over {\left[ I \right]}}[R]=[I][V]​ = [ML2T−3I−1][I]{{\left[ {M{L^2}{T^{ - 3}}{I^{ - 1}}} \right]} \over {\left[ I \right]}}[I][ML2T−3I−1]​ = [ML2T−3I−2]{\left[ {M{L^2}{T^{ - 3}}{I^{ - 2}}} \right]}[ML2T−3I−2]

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