LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
19 views
in Physics by (54.0k points)
closed by
Find density of mixture if the same mass of two fluids are mixed together. (densities of both the fluids are d1 and d2 )
1. \({d_1+d_2 \over 2}\)
2. \(\sqrt{d_1d_2 }\)
3. \({1 \over d_1}+{1 \over d_2}\)
4. \({2d_1d_2 \over d_1+d_2}\)

1 Answer

0 votes
by (30.0k points)
selected by
 
Best answer
Correct Answer - Option 4 : \({2d_1d_2 \over d_1+d_2}\)

CONCEPT:

  • The relation between mass, density, and volume is given by:

mass = density × Volume

m = d × V

EXPLANATION:

Given that both the fluids have the same mass. Let it is m.

The density of first fluid = d1

Volume of first fluid = V1 = m / d1 ................(i)

The density of second fluid = d2

Volume of second fluid = V2 = m / d2 ................(ii)

Now after mixing the fluids.

\(Density ~of~ mixture = {Total~mass \over Total ~volume}\)

\(Density ~of~ mixture = {m+m \over V_1+ V_2}\)

From eq (i) and (ii)

\(Density ~of~ mixture = {2m \over {m \over d_1}+ {m \over d_2}}\)

\(Density ~of~ mixture = {2 \over {1 \over d_1} + {1 \over d_2}}\)

\(Density ~of~ mixture = {2 d_1 d_2 \over {d_1 + d_2}}\)

So the correct answer is option 4.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...