A physical quantity $x$ depends on quantities $y$ and $z$ as $\,x = Ay + B\,\,\,\sin \,\,\,\,(Cz),\,$ where $A,\,\,B$ and $C$ are constants. Which of the following have same dimensions?

$x{\rm{ }}\,\,{\rm{and}}\,{\rm{ }}\,B$

$C\,\,\,{\rm{ and }}\,\,\,{z^{ - 1}}$

JEE PHYSICS MCQ: UNITS & MEASUREMENTS

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Analyzing +4 | -1

A physical quantity

x

depends on quantities

y

and

z

\,x = Ay + B\,\,\,\sin \,\,\,\,(Cz),\,

where

A,\,\,B

and

C

are constants. Which of the following have same dimensions?

View answer and explanation

Correct option: D

All of these

Option D (All of these) is correct because, according to the principle of homogeneity, each term in the equation must have the same dimensions, and the argument of a trigonometric function must be dimensionless.

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