JIPMER 2009
- Exam
- JIPMER
- Year
- 2009
- Subject
- Physics
- Chapter
- Units and Dimensions
JIPMER 2009 · 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 , of length , of time and of current , would be
Options
- A\left[\mathrm{ML}^2 \mathrm{~T}^{-3}\mathrm{I}^{-1}\right]
- B
- C\left[\mathrm{ML}^2 \mathrm{~T}^{-1}\mathrm{I}^{-1}\right]
- D\left[\mathrm{ML}^2 \mathrm{~T}^{-3}\mathrm{I}^{-2}\right]
Correct answer
D. \left[\mathrm{ML}^2 \mathrm{~T}^{-3}\mathrm{I}^{-2}\right]
Step-by-step solution
Resistance
( Potential difference is equal to work done per unit charge)
So, Dimensions of
=\frac{\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]}{[\mathrm{IT}][]}=\left[\mathrm{ML}^2 \mathrm{~T}^{-3} ^{-2}\right]