QJEEM24Ph8349: JEE Main 2024 Physics - Class 11 JEEM24Ph8349 Solution: Consider two physical quantities A and B related to each other…

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QJEEM24Ph8349: JEE Main 2024 Physics - Class 11 JEEM24Ph8349 Solution: Consider two physical quantities A and B related to each other…

Consider two physical quantities $A$ and $B$ related to each other as $E = \frac{B - x^{2}}{A t}$ where $E, x$ and $t$ have dimensions of energy, length and time respectively. The dimension of $A B$ is

Multiple Choice Options

A L−2M1T0
B L2M−1T1
C L0M−1T1
D L−2M−1T1

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Accepted Answer

$\begin{aligned} [B] = L^{2} \\ A = \frac{x^{2}}{tE} = \frac{L^{2}}{{TML}^{2} T^{- 2}} = \frac{1}{{MT}^{- 1}} \\ [A] = M^{- 1 T} \\ [AB] = [L^{2} M^{- 1} T^{1}] \end{aligned}$

QJEEM24Ph8349: JEE Main 2024 Physics - Class 11 JEEM24Ph8349 Solution: Consider two physical quantities A and B related to each other…

Multiple Choice Options

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