Question

Two objects, A and B have the same mass, but volume of A is more than that of B. Which object has a higher density?

• A. A
• B. B
• C. Both objects are having same density.
• D. Insufficient data.

Answer 1

The correct option is B B

Given:
Masses of A and B are equal
$M_A=M_B$
Volume of A is more than B
$V_A>V_B$

From definition of density,
$\rho =\frac{M}{V}$
where
$M:\text{Mass of the body}$
$V=\text{Volume of the body}$

$\frac{{\rho }_A}{{\rho }_B}=\frac{M_A/V_A}{M_B/V_B}$
$\frac{{\rho }_A}{{\rho }_B}=\frac{V_B}{V_A}<1$
Hence, density of B is more than A.