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Units and Measurements
Dimensional Formulae
3 questions from 3 papers, each with its answer.
- questions
- 3
- papers
- 3
- years asked, 2017–2026
- 3 of 10
- of Units and Measurements
- 5.66%
Appears in
Concepts tested
- dimensions of E/G
- dimensions of magnetic permeability
- dimensions of stress
All Questions
2022 1 question
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The dimension $[MLT^{-2}A^{-2}]$ belong to the :Magnetic permeability: from $B = \frac{\mu_0 I}{2\pi r}$, $\mu_0 = \frac{2\pi r B}{I}$ $[B] = [MT^{-2}A^{-1}]$, so $[\mu_0] = \frac{[L][MT^{-2}A^{-1}]}{[A]} = [MLT^{-2}A^{-2}]$ So $[MLT^{-2}A^{-2}]$ belongs to magnetic permeability.
2021 1 question
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If $E$ and $G$ respectively denote energy and gravitational constant, then $\frac{E}{G}$ has the dimensions of:$[E] = [ML^2T^{-2}]$ ; $[G] = [M^{-1}L^3T^{-2}]$ $\frac{[E]}{[G]} = \frac{ML^2T^{-2}}{M^{-1}L^3T^{-2}} = [M^2L^{-1}T^0]$
2020 1 question
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Dimensions of stress are:Stress $= \frac{Force}{Area} = \frac{[MLT^{-2}]}{[L^2]} = [ML^{-1}T^{-2}]$