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11th Class Physics Physical World / भौतिक जगत Question Bank 11th CBSE Physics Mathematical Tools, Units & Dimensions

  • question_answer
    Let x and a stand for distance. Is \[\int{\frac{dx}{\sqrt{{{a}^{2}}-{{x}^{2}}}}=\frac{1}{a}{{\sin }^{-1}}\frac{a}{x}}\] dimensionally correct?

    Answer:

                    Integral on LHS has value of the form \[logx\] which is dimensionless. As RHS is not dimensionless, therefore, the formula is not correct.


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