A physical quantity $$x$$ depends on quantities $$y$$ and $$z$$ as follows : $$x = Ay + B\tan Cz,$$ where $$A,B$$ and $$C$$ are constants. Which of the following do not have the same dimensions :
A.
$$x$$ and $$B$$
B.
$$C$$ and $${z^{ - 1}}$$
C.
$$y$$ and $$\frac{B}{A}$$
D.
$$x$$ and $$A$$
Answer :
$$x$$ and $$A$$
Solution :
$$\left[ x \right] = \left[ A \right] \times \left[ y \right] = \left[ B \right] \Rightarrow \left[ x \right] \ne \left[ A \right]$$
Releted MCQ Question on Basic Physics >> Unit and Measurement
Releted Question 1
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