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JEE PHYSICS MCQ: UNITS & MEASUREMENTS

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The equation of a circle is given by x2+y2=a2x^2+y^2=a^2, where aa is the radius. If the equation is modified to change the origin other than (0,0)(0,0), then find out the correct dimensions of AA and BB in a new equation (x−At)2+(y−tB)2=a2(x-A t)^2+\left(y-\frac{t}{B}\right)^2=a^2. The dimension of tt is given as [T−1]\left[\mathrm{T}^{-1}\right].
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Correct option: A
A=[LT],B=[L−1T−1]A=[L T], B=\left[L^{-1} T^{-1}\right]
Option A (A=[LT],B=[L−1T−1]A=[L T], B=[L^{-1} T^{-1}]) is correct because it satisfies the dimensional homogeneity in the given equation.

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