Download App

9.1 , fluid mechanics — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics9.1 , fluid mechanics1 Mark
MCQ
A cube of external dimension $10\  cm$ has an inner cubical portion of side $5\  cm$ whose density is twice that of the outer portion. If this cube is just floating in a liquid of density $2\  g/cm^3$, find the density of the inner portion
  • A
    $\frac{8}{9}\ gm/cc$
  • B
    $\frac{16}{9}\ gm/cc$
  • ✓
    $\frac{32}{9}\ gm/cc$
  • D
    $\frac{5}{4}\ gm/cc$
✓

Answer

Correct option: C.
$\frac{32}{9}\ gm/cc$
c
$m g=2 \rho_{1} \times 10^{3}+\rho_{1} \times\left(20^{3}-10^{3}\right)$

$=9 \rho_{1} \times 10^{3} \mathrm{g}=\rho \times 8 \times 10^{3} \mathrm{g}$

$\Rightarrow \rho_{1}=\frac{8}{9} \mathrm{gm} / \mathrm{cc}$

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

The pressure $P$ of an ideal diatomic gas varies with its absolute temperature $T$ as shown in figure. The molar heat capacity of gas during this process is ........... $R$ [$R$ is gas constant]
→
A spring balance and a physical balance are kept in a lift. In these balances equal masses are placed. If now the lift starts moving upwards with constant acceleration, then
→
If we write the elasticity of rubber, steel and glass in increasing order, the correct order will be:
→
A string in musical instrument is $50 cm$ long and its fundamental frequency is $800 Hz.$ If a frequency of $1000 Hz$ is to be produced, then required length of string is ..... $cm$
→
From the following $V-T$ diagram we can conclude
→
Identify the wrong statement:
→
The centre of mass of an extended body on the surface of the earth and its centre of gravity.
→
Which of the following is self adjusting in nature?
→
A submarine experiences a pressure of $5.05\times 10^6\,Pa$ at a depth of $d_1$ in a sea. When it goes further to a depth of $d_2,$ it experiences a pressure of $8.08\times 10^6\,Pa.$ Then $d_2 -d_1$ is approximately ........ $m$ (density of water $= 10^3\,kg/m^3$ and acceleration due to gravity $= 10\,ms^{-2}$ )
→
Water has been filled in a vertical capillary tube upto the top after closing its lower end by a finger. If the finger is removed we shall observe that : ( $T = 70 \,\,dyne/cm,$  radus of capillary $r = 1\,\,mm$ and $g = 980\,\,cm/sec^2$ )
→