Question

Two spheres have equal mass and volume in the ratio 2:1 the ratio of their density is

Answer 1

Answer:1:2

Explanation:

density=mass/density

let the mass be 'm' and volume be 2v and v

now, density 1/density 2

= m/2v  /m/v

= 1:2

Answer 2

Answer:

The ratio of the density of the both spheres is 1:2.

Explanation:

Given that,

Two spheres have equal mass and volume in the ratio 2:1.

We know,

The density is equal to the mass divided by the volume.

The density is defined as,

$\rho =\dfrac{m}{V}$

Where, m = mass

V = volume

Now, the density for first sphere

$\rho_{1}=\dfrac{m_{1}}{V_{1}}$....(I)

the density for first sphere

$\rho_{2}=\dfrac{m_{2}}{V_{2}}$....(II)

The ratio of the density of the both spheres is

$\dfrac{\rho_{1}}{\rho_{2}}=\dfrac{m_{1}V_{2}}{m_{2}V_{1}}$

Put the value of mass and volume,

$\dfrac{\rho_{1}}{\rho_{2}}=\dfrac{1}{2}$

Hence, The ratio of the density of the both spheres is 1:2.