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NEET UG PHYSICS MCQ: UNITS & MEASUREMENTS

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Analyzing +4 | -1
You may not know integration. But using dimensional analysis you can check or prove results. In the integral ∫dx(2ax−x2)1/2=ansin⁡−1(xa−1)\int \frac{d x}{\left(2 {ax}-x^2\right)^{1 / 2}}=a^n \sin ^{-1}\left(\frac{x}{a}-1\right) the value of nn should be-
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Correct option: A
0
Option A (0) is correct because the argument of the inverse sine function must be dimensionless, and dimensional analysis shows that n must be zero.

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