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A physical quantity `x` depends on quantities `y and z` as follows : ` x = Ay + B tan ( C z)`, where `A , B and C` are constants. Which of the followings do not have the same dimensions?A. x and BB. `C and z^(-1)`C. y and B//A`D. x and A |
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Answer» Correct Answer - d `x = Ay + B tan Cz` From the dimensional homogenetly `[x] - [Ay] = [B] rArr ([x)/(A]) = [y] = ([B)/(A))]` `[cz] = [M^(0) L^(0)T^(0)] =` Dimension less `x` and `A` have the different dimensionsx and `B, C` and `z^(-1), y` and `(B)/(A)` have the same dimension but `x` amd `A` have the different dimensions. |
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