Download App

9.1 , fluid mechanics — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics9.1 , fluid mechanics1 Mark
MCQ
A liquid mixture of volume $V$, has two liquids as its ingredients with densities $\alpha$ and $\beta$. If density of the mixture is $\sigma$, then mass of the first liquid in mixture is ............
  • A
    $\frac{\alpha V[\sigma \beta+1]}{\beta[\alpha+\alpha]}$
  • B
    $\frac{\alpha V[\sigma-\beta]}{[\sigma+\beta]}$
  • ✓
    $\frac{\alpha V(\beta-\sigma)}{\beta-\alpha}$
  • D
    $\frac{\alpha V[1-\sigma \alpha]}{\beta[\alpha-\sigma]}$
✓

Answer

Correct option: C.
$\frac{\alpha V(\beta-\sigma)}{\beta-\alpha}$
c
Let mass of liquid with density $\alpha= M _1$

mass of liquid with density $\beta= M _2$

Total volume $= V$

Net density of mixture $=\sigma$

Total mass $= M _1+ M _2$

$\Rightarrow V \sigma= M _1+ M _2$

$\Rightarrow M _2= V \sigma- M _1 \ldots \ldots(1)$

$\left[\because \frac{\text { Total Mass }}{ v }=\sigma\right]$

$T=\frac{T \text { otal mass }}{\text { Total volume }}=\frac{M_1+M_2}{\frac{M_1}{\alpha}+\frac{M_2}{\beta}} \ldots \ldots \text { (2) }$

sub $(1)$ in $(2)$

$\Rightarrow \sigma=\frac{ M _1+\left( v \sigma- M _1\right)}{\frac{ M _1}{\alpha}+\left(\frac{ v \sigma- M _1}{\beta}\right)}$

$\Rightarrow M _1=\frac{\alpha V (\beta-\sigma)}{\beta-\alpha} \text {. }$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from 9.1 , fluid mechanics→9.1 , fluid mechanics — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A cylindrical vessel of $90 cm$  height is kept filled upto the brim. It has four holes $ 1, 2, 3, 4$  which are respectively at heights of $20 cm, 30 cm, 45 cm $ and $50 cm$  from the horizontal floor $PQ.$  The water falling at the maximum horizontal distance from the vessel comes from
→
If one mole of an ideal gas goes through the process $A \rightarrow B$ and $B \rightarrow C .$ Given that $T _{ A }=400\, K ,$ and $T _{ C }=400 \,K .$ If $\frac{ P _{ B }}{ P _{ A }}=\frac{1}{5},$ then find the heat supplied to the gas (in $J$)
→
A given system undergoes a change in which the work done by the system equals the decrease in its internal energy. The system must have undergone an
→
$25$ tunning forks are arranged in series in the order of decreasing frequency. Any two successive forks produce $3\, beats/sec.$ If the frequency of the first turning fork is the octave of the last fork, then the frequency of the $21^{st}$ fork is .... $Hz$
→
As shown in the figure, a mass $m$ and another block of mass $10m$ are connected with a string. Friction is sufficient to prevent the slipping of $10m$. Mass $m$ is given a velocity $u$ in vertical direction. For complete circular motion of mass $m$ :-
→
A particle is moving with a constant speed $v$ in a circle. What is the magnitude of average velocity after half rotation
→
Two vectors having equal magnitudes of $x\, units$ acting at an angle of $45^o$ have resultant $\sqrt {\left( {2 + \sqrt 2 } \right)} $ $units$. The value of $x$ is
→
Two adjacent sides of a parallelogram are represented by the two vectors $\hat i + 2\hat j + 3\hat k$ and $3\hat i - 2\hat j + \hat k$. What is the area of parallelogram
→
A uniform rod of length $L$ is free to rotate in a vertical plane about a fixed horizontal axis through $B$. The rod begins rotating from rest from its unstable equilibrium position. When it has turned through an angle $\theta $ its angular velocity $\omega $ is given as
→
A thin uniform circular disc of mass $M$ and radius $R$ is rotating in a horizontal plane about an axis passing through its centre and perpendicular to the plane with angular velocity $\omega$. Another disc of same mass but half the radius is gently placed over it coaxially. The angular speed of the composite disc will be :
→