If x and a stand for distance, then for what value of n is the given equation dimensionally correct ? The equation is :
\(\int \frac{dx}{\sqrt{a^2-x^n}} = sin^{-1} \frac{x}{a}\)
Answer & explanation
Correct answer: option 2
Here xn has the same dimension as a2 because x and a have same dimensions. Thus, n = 2 will make the expression dimensionally correct.