An object weights $m_1$ in a liquid of density $d_1$ and that in liquid of density $d_2$ is $m_2$. The density of th object is

$\frac{m_2 d_2-m_1 d_1}{m_2-m_1}$

$\frac{m_1 d_1-m_2 d_2}{m_2-m_1}$

$\frac{m_2 d_1-m_1 d_2}{m_1-m_2}$

JEE PHYSICS MCQ: MECHANICAL PROPERTIES OF FLUIDS

1 Medium

1 of 1

Application +4 | -1

An object weights

m_1

in a liquid of density

d_1

and that in liquid of density

d_2

m_2

. The density of th object is

View answer and explanation

Correct option: D

\frac{m_1 d_2-m_2 d_1}{m_1-m_2}

Option D (

\frac{m_1 d_2-m_2 d_1}{m_1-m_2}

) is correct because it is derived from the buoyant force equations in two different liquids and solving for the density of the object.

Practice All Chapter MCQs →

80 \mathrm{~kg}

20 \mathrm{~cm}

0.5 \mathrm{~cm}

0.1 \mathrm{~cm}

15 \mathrm{~m} / \mathrm{s}

5 \mathrm{~m}

=10^{-2}