Question

The Sl unit of length is the meter. Suppose we adopt a new unit of length which equals to $x$ meters. The area 1 $m^2$ expressed in terms of the new unit has a magnitude:

• A. $x$
• B. $x^2$
• C. $\frac{1}{x}$
• D. $\frac{1}{x^2}$

Answer 1

The correct option is D $\frac{1}{x^2}$

SI unit of Length $=$ meters.

New Unit of Length $=x$ meters.

$1m=\frac{1}{x}$ new units

SI unit of area :

$A=1m^2$

$=1\times 1m^2$

$=\frac{1}{x}\times \frac{1}{x}$

$=\frac{1}{x^2}$