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Which two objects have the same density. The graph shows the mass and volume of several different objects. A) 2&3. B) 1&4. C) 2&4. D) 3&4

Which two objects have the same density The graph shows the mass and volume of several different objects A 2amp3 B 1amp4 C 2amp4 D 3amp4 class=


Answer :

Answer:

A. 2 and 3

Explanation:

Density (ρ) is equal to mass (m) divided by volume (V).

ρ = m / V

In order for two objects to have the same density, their masses and volumes must be proportionate.

ρ₁ = ρ₂

m₁ / V₁ = m₂ / V₂

Objects 2 and 4 have the same volume but different masses, so they cannot have the same density. Similarly, objects 3 and 4 have the same mass but different volumes, so they cannot have the same density. So we can eliminate options C and D.

Object 1 has high mass and low volume, so it has a high density. Object 4 has a low mass and a large volume, so it has a low density. The densities are different, so we can eliminate option B.

Object 3 has a low mass and a low volume. Object 2 has a high mass and a high volume. The ratios are proportionate, so object 2 and 3 have the same density. Answer is option A.