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NEET 2007
Exam
NEET
Year
2007
Subject
Physics
Chapter
Units and Dimensions

NEET 2007 · Physics · Units and Dimensions

Dimensions of resistance in an electrical circuit, in terms of...

Dimensions of resistance in an electrical circuit, in terms of dimension of mass MM, of length LL, of time TT and of current II, would be

Options

  1. AML2T−2M L^2 T^{-2}
  2. BML2T−1I−1M L^2 T^{-1} I^{-1}
  3. CML2T−3I−2M L^2 T^{-3} I^{-2}
  4. DML2T−3I−1M L^2 T^{-3} I^{-1}

Correct answer

C. ML2T−3I−2M L^2 T^{-3} I^{-2}

Step-by-step solution

We know that R=VI=[ML2T−2][I2T]=[ML2T−3I−2]\begin{aligned} R & =\frac{V}{I}=\frac{\left[M L^2 T^{-2}\right]}{\left[I^2 T\right]} \\ & =\left[M L^2 T^{-3} I^{-2}\right] \end{aligned}
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