If x and a stand for distance then for what value of n is given equation dimensionally correct the eq. is int {frac{{dx}}{{sqrt {{a^2}, -

Q: If $x$ and $a$ stand for distance then for what value of $n$ is given equation dimensionally correct the eq. is $\int {\frac{{dx}}{{\sqrt {{a^2}\, - \,{x^n}} \,}}\, = \,{{\sin }^{ - 1}}\,\frac{x}{a}} $

b $\int \frac{d x}{\sqrt{a^{2}-x^{2}}}=\sin ^{-1} \frac{x}{a}$ terms in a equation or terms having arithematic operations of addition and subtraction should have same dimensions. $\Rightarrow \ln a^{2}-x^{n}$ $\operatorname{dim}\left(a^{2}\right)=\operatorname{dim}\left(x^{n}\right)$ $L^{2}=L^{n} \Rightarrow[n=2]$

SECTION - A [PHYSICS MCQ]

GSEB - English Medium

If $x$ and $a$ stand for distance then for what value of $n$ is given equation dimensionally correct the eq. is $\int {\frac{{dx}}{{\sqrt {{a^2}\, - \,{x^n}} \,}}\, = \,{{\sin }^{ - 1}}\,\frac{x}{a}} $

A$0$
B$2$
C$-\,2$
D$1$

Medium

STD 11 Science
JEE
STD 11 - 1. units,dimensions and measurement
Physics

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