JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
Consider a modified Bernoulli equation.
\(\left( P +\frac{ A }{ Bt ^2}\right)+\rho g ( h + Bt )+\frac{1}{2} \rho V^2=\) constant
If \(t\) has the dimension of time then the dimensions of A and B are _________ , _________ respectively.
- A \( [ML^{0}T^{-1}] \) and \( [M^{0}LT] \)
- B \( [ML^{0}T^{-1}] \) and \( [M^{0}LT^{-1}] \)
- C \( [ML^{0}T^{-2}] \) and \( [M^{0}LT^{-2}] \)
- D \( [ML^{0}T^{-2}] \) and \( [M^{0}LT^{-1}] \)
Answer & Solution
Correct Answer
(B) \( [ML^{0}T^{-1}] \) and \( [M^{0}LT^{-1}] \)
Step-by-step Solution
Detailed explanation
\(\Rightarrow\lfloor P \rfloor=\left[\frac{ A }{ Bt ^2}\right]\)....(1) \(\Rightarrow[ h ]=[ Bt ]\) ....(2) \(\Rightarrow\lfloor B \rfloor=\left[\frac{ h }{ t }\right]=\left[\frac{ L }{ T }\right]=\left[ LT ^{-1}\right]\) Putting B is equation (1)…
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