JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
If \({E}, {L}, {m}\) and \({G}\) denote the quantities as energy, angular momentum, mass and constant of gravitation respectively, then the dimensions of \({P}\) in the formula \({P}={EL}^{2} {m}^{-5} {G}^{-2}\) are
- A \(\left[{M}^{0} {L}^{1} {T}^{0}\right]\)
- B \(\left[{M}^{-1} {L}^{-1} {T}^{2}\right]\)
- C \(\left[{M}^{1} {L}^{1} {T}^{-2}\right]\)
- D \(\left[{M}^{0} {L}^{0} {T}^{0}\right]\)
Answer & Solution
Correct Answer
(D) \(\left[{M}^{0} {L}^{0} {T}^{0}\right]\)
Step-by-step Solution
Detailed explanation
\({E}={ML}^{2} {T}^{-2}\) \({L}={ML}^{2} {T}^{-1}\) \({m}={M}\) \({G}={M}^{-1} {L}^{+3} {T}^{-2}\) \({P}=\frac{{EL}^{2}}{{M}^{5} {G}^{2}}\)…
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