A physical quantity x depends on quantities y and z as follows: x = Ay + Btan(Cz), where A, B, and C are dimensionless constants. Which of the followings do not have the same dimensions?

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x and B

C and z-1

y and B/A

x and A

answer is D.

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Detailed Solution

[x]=[Ay]=[B]⇒[y]=[B/A]and [x]=[B] Also, [x]≠[A] and [Cz]=dimensionless⇒ [C]=z−1

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