Question

Density of liquid in CGS system is $0.625{\mathrm{gcm}}^{-3}$. What is its magnitude in SI system?

• A. $0.625$
• B. $0.0625$
• C. $0.00625$
• D. $625$

Answer 1

The correct option is D

$625$

Correct option is D.

Explanation for correct option:

$$\begin{gathered} \mathrm{Density}=\frac{\mathrm{Mass}}{\mathrm{volume}} \\ \mathrm{In}\mathrm{CGS}\mathrm{units} \\ \mathrm{d}=0.625{\mathrm{gcm}}^{-3} \\ \mathrm{In}\mathrm{SI}\mathrm{units} \\ \mathrm{d}=\frac{0.625\times {10}^{-3}\mathrm{kg}}{{10}^{-6}{\mathrm{m}}^3} \\ =\mathbf{625}\mathbf{}{\mathbf{kgm}}^{\mathbf{-}\mathbf{3}} \end{gathered}$$

Therefore, magnitude in SI system is $\mathbf{625}\mathbf{}{\mathbf{kgm}}^{\mathbf{-}\mathbf{3}}$.

Therefore, D is a correct option.

A,B and C are incorrect options.

Explanation for incorrect options :

The calculated value don't match with the numerical value given in the options A,B and C.

Therefore, A,B and C are incorrect options.