JEE PHYSICS MCQ: UNITS & MEASUREMENTS

1 Medium

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Analyzing +4 | -1

x

and

a

stand for distance, then for what value of

n

is the given equation dimensionally correct? The equation is

\int \frac{d x}{\sqrt{a^2-x^n}}=\sin ^{-1} \frac{x}{a}

View answer and explanation

Correct option: B

Option B is correct. For the equation to be dimensionally correct, the term inside the square root must have dimensions of

a^2

. Thus,

x^n

must have the same dimensions as

a^2

, implying

n=2

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