Question

The relative density of silver is 10.8. If the density of water is 1000 kg/m\(^3\), then the density of silver will be-

• A. \(10.8\times10^{-3}\) kg/m\(^3\)
• B. \(10.8\times10^{3}\) kg/m\(^3\)
• C. 10.8 kg/m\(^3\)
• D. \(1.08\times10^{-3}\) kg/m\(^3\)

Hint:

Relative density is a ratio and therefore has no unit.

Answer 1

The Correct Option is B

Step 1: Understand relative density.
Relative density tells us how many times heavier a substance is compared to water. It is just a number with no units.

Step 2: Write the formula.
\[ \text{Relative density} = \frac{\text{density of substance}}{\text{density of water}} \]

Step 3: Rearrange to get the density we want.
\[ \text{Density of silver} = \text{Relative density} \times \text{Density of water} \]

Step 4: Put in the numbers.
Relative density of silver is $10.8$ and density of water is $1000$ kg/m$^3$. \[ \text{Density of silver} = 10.8 \times 1000 \]

Step 5: Do the multiplication.
\[ 10.8 \times 1000 = 10800 \text{ kg/m}^3 \]

Step 6: Write it in standard form.
$10800$ can be written as $10.8 \times 10^{3}$. \[ \boxed{10.8 \times 10^{3} \text{ kg/m}^3} \]