JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
If \(C\) and \(V\) represent capacity and voltage respectively then what are the dimensions of \(\lambda,\) where \(\frac{ C }{ V }=\lambda ?\)
- A \(\left[ M ^{-2} L ^{-3} I ^{2} T ^{6}\right]\)
- B \(\left[ M ^{-3} L ^{-4} I ^{3} T ^{7}\right]\)
- C \(\left[ M ^{-1} L ^{-3} I ^{-2} T ^{-7}\right]\)
- D \(\left[ M ^{-2} L ^{-4} I ^{3} T ^{7}\right]\)
Answer & Solution
Correct Answer
(D) \(\left[ M ^{-2} L ^{-4} I ^{3} T ^{7}\right]\)
Step-by-step Solution
Detailed explanation
\(\lambda=\frac{ C }{ V }=\frac{ Q / V }{ V }=\frac{ Q }{ V ^{2}}\) \(V =\frac{\text { work }}{ Q }\) \(\lambda=\frac{ Q ^{3}}{(\text { work })^{2}}=\frac{( It )^{3}}{( F . s )^{2}}\)…
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