JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
If force \(({F})\), length \(({L})\) and time \(({T})\) are taken as the fundamental quantities. Then what will be the dimension of density
- A \(\left[{FL}^{-4} {T}^{2}\right]\)
- B \(\left[{FL}^{-3} {T}^{2}\right]\)
- C \(\left[{FL}^{-5} {T}^{2}\right]\)
- D \(\left[{FL}^{-3} {T}^{3}\right]\)
Answer & Solution
Correct Answer
(A) \(\left[{FL}^{-4} {T}^{2}\right]\)
Step-by-step Solution
Detailed explanation
\(\text { Density }=\left[{F}^{{a}} {L}^{{b}} {T}^{{c}}\right]\) \({\left[{ML}^{-3}\right]=\left[{M}^{{a}} {L}^{{a}} {T}^{-2 {a}} {L}^{{b}} {T}^{{c}}\right]}\) \({\left[{M}^{1} {L}^{-3}\right]=\left[{M}^{{a}} {L}^{{a}+{b}} {T}^{-2 {a}+c}\right]}\)…
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