Chapter 1, Problem 5STP

To determine

To Choose: The correct option.

Answer to Problem 5STP

Option A: $V=\frac{m}{D}$

Explanation of Solution

Given:

The expression $D=\frac{m}{V}$

Formula used:

The expression for density $\left(D\right)$ of a substance is given by,

  $D=\frac{m}{V}$

Here, $m$ represents the mass of the substance and $V$ represents the volume of the substance.

Calculation:

From the expression for the density of the substance, $D=\frac{m}{V}$ .

The mass of the substance $\left(m\right)$ and the density of the substance $\left(D\right)$ are directly proportional to each other.

The volume of the substance $\left(V\right)$ and the density of the substance $\left(D\right)$ are inversely proportional to each other.

Among the options $\text{A,B,C}$ , and $\text{D}$ , only option A satisfies the above two relations.

  $V=\frac{m}{D}$

Conclusion:

Thus, option A is correct.