Density of ice is $\rho $ and that of water is $\sigma $. What will be the decrease in volume when a mass $M$  of ice melts
  • A$\frac{M}{{\sigma - \rho }}$
  • B$\frac{{\sigma - \rho }}{M}$
  • C$M\,\left[ {\frac{1}{\rho } - \frac{1}{\sigma }} \right]$
  • D$\frac{1}{M}\left[ {\frac{1}{\rho } - \frac{1}{\sigma }} \right]$
Medium
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    Three liquids of densities $d,\,2d$ and $3d$ are mixed in equal proportions of weights. The relative density of the mixture is
    View Solution
  • 2
    A tiny spherical oil drop carrying a net charge $q$ is balanced in still air with a vertical uniform electric field of strength $\frac{81 \pi}{7} \times 10^5 \mathrm{Vm}^{-1}$. When the field is switched off, the drop is observed to fall with terminal velocity $2 \times 10^{-3} \mathrm{~ms}^{-1}$. Given $\mathrm{g}=9.8 \mathrm{~ms}^{-2}$, viscosity of the air $=1.8 \times 10^{-5} \mathrm{Ns} \mathrm{m}^{-2}$ and the density of oil $=$ $900 \mathrm{~kg} \mathrm{~m}^{-3}$, the magnitude of $\mathrm{q}$ is
    View Solution
  • 3
    A uniform rod of density $\rho $ is placed in a wide tank containing a liquid of density ${\rho _0}({\rho _0} > \rho )$. The depth of liquid in the tank is half the length of the rod. The rod is in equilibrium, with its lower end resting on the bottom of the tank. In this position the rod makes an angle $\theta $ with the horizontal
    View Solution
  • 4
    An object falling through a fluid is observed to have acceleration given by $a = g -bv$ where $g =$ gravitational acceleration and $b$ is constant. After a long time of release, it is observed to fall with constant speed. The value of constant speed is
    View Solution
  • 5
    The diagram (figure) shows a venturimeter, through which water is flowing. The speed of water at $X$ is $2\,cm/s.$ The speed of water at $Y$ (taking $g = 1000 \,cm/s^2$ ) is ........ $cm/s$
    View Solution
  • 6
    A cylinder of radius $4\ cm$ and height $10\ cm$ is immersed in two liquids as shown. Specific gravity of oil is $0.5$ . $2\ cm$ of cylinder is in the air. Select the $INCORRECT$ statement. Neglect atmospheric pressure.
    View Solution
  • 7
    If two liquids of same volume but different densities ${\rho _1}$ and ${\rho _2}$ are mixed, then density of mixture is given by
    View Solution
  • 8
    Water is flowing through a horizontal tube according to the figure. Its diameter at two points are $0.3\,m$ and $0.1\,m$  respectively. Pressure difference between these two points is equal to $0.8\,m$ of water column. Find rate of flow of water in the tube ..... $ltr/s$
    View Solution
  • 9
    A table tennis ball has radius $(3 / 2) \times 10^{-2} m$ and mass $(22 / 7) \times 10^{-3} kg$. It is slowly pushed down into a swimming pool to a depth of $d=0.7 m$ below the water surface and then released from rest. It emerges from the water surface at speed $v$, without getting wet, and rises up to a height $H$. Which of the following option(s) is (are) correct?

    [Given: $\pi=22 / 7, g=10 ms ^{-2}$, density of water $=1 \times 10^3 kg m ^{-3}$, viscosity of water $=1 \times 10^{-3} Pa$-s.]

    $(A)$ The work done in pushing the ball to the depth $d$ is $0.077 J$.

    $(B)$ If we neglect the viscous force in water, then the speed $v=7 m / s$.

    $(C)$ If we neglect the viscous force in water, then the height $H=1.4 m$.

    $(D)$ The ratio of the magnitudes of the net force excluding the viscous force to the maximum viscous force in water is $500 / 9$.

    View Solution
  • 10
    A Newtonian fluid fills the clearance between a shaft and a sleeve. When a force of $800$ $N$ is applied to the shaft, parallel to the sleeve, the shaft attains a speed of $1.5$ $cm/sec$. If a force of $2.4$ $kN$ is applied instead, the shaft would move with a speed of ......... $ cm/sec$
    View Solution