Question

If two masses A and B have their masses in the ratio 1 : 4 and their volumes are equal, then their densities have the ratio :

• A. 1 : 4
• B. 4 : 1
• C. 2 : 1
• D. 3 : 1

Answer 1

Answer: (A)

1 : 4

We know that density is defined as:

$\rho =\frac{mass}{volume}$

It means that density is directly proportional to the mass.

$\frac{d}{d^{\prime }}=\frac{m}{m^{\prime }}=\frac{1}{4}$

Since, $m:m^{\prime }=1:4$

$\therefore ,d:d^{\prime }=1:4$