Energy is given by E = (\frac{a–x}{bt})Where E is energy, x... | PHYSICS - DIMENSIONAL FORMULAE AND DIMENSIONAL EQUATIONS | SolveeIt

Energy is given by E = $\frac{a–x}{bt}$ Where E is energy, x is distance and t is time. Dimensional formula of a and b are –

$\text{L, }\text{M}^{\text{-1}}L^{\text{-1}}T$

$\text{M}\text{L}^{\text{-2}}\text{T, T}$

$\text{L, M}\text{L}^{2}\text{ T}\text{ }^{\text{-1}}$

$\text{LT}\text{ }^{\text{-1}}\text{, M}\text{L}^{2}\text{T}\text{ }^{\text{-1}}$

Answer

$\text{L, }\text{M}^{\text{-1}}L^{\text{-1}}T$

Explanation

$\mathbf{\lbrack}\mathbf{a}\mathbf{\rbrack}\mathbf{\ }\mathbf{=}\mathbf{\ }\mathbf{\lbrack}\mathbf{x}\mathbf{\rbrack}$

$\lbrack a\rbrack\ = \ \lbrack L\rbrack$

And

[E] = $\frac{\lbrack a–x\rbrack}{\lbrack b\rbrack\lbrack t\rbrack}$

[b] = $\frac{\lbrack a–x\rbrack}{\lbrack E\rbrack\lbrack t\rbrack}$ = $\frac{\lbrack L\rbrack}{\lbrack ML^{2}T^{–2}\rbrack\lbrack T\rbrack}$

$= \ \lbrack M^{\text{-1}}L^{\text{-1}}T^{+ 1}\ \rbrack$

Question: Energy is given by E = \(\frac{a–x}{bt}\)Where E is energy, x is distance and t is time. Dimensional...