Let x and a stand for distance. Is ∫ a 2 − x 2 x d x = − a 2 − x 2 dimensionally correct?

Physics - Unit & Dimension Question with Solution | TestHub

PhysicsUnit & DimensionMiscellaneousEasy2 minQB

PhysicsEasysingle choice

Let $x$ and $a$ stand for distance. Is $\int \frac{x d x}{a ^{2} - x ^{2}} = - a^{2} - x^{2}$ dimensionally correct?

Answer:

Solution:

LHS: $\frac{[ L ] [ L ]}{[ L ]} = [L];$
RHS: $[L^{2}] = [L]$ .
Both sides match, so the equation is dimensionally correct.

Stream:JEESubject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: QB

Loading discussions...