A spherical solid ball of volume $V$ is made of a material of density $\rho _1$. It is falling through a liquid of density $\rho _2(\rho _2 < \rho _1)$. Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed $v,$ i.e., $F_{viscous} = -k\upsilon ^2 (k > 0)$. The terminal speed of the ball is
$\sqrt {\frac{{Vg({\rho _1} - {\rho _2})}}{k}} $
$\frac{{Vg{\rho _1}}}{k}$
$\sqrt {\frac{{Vg{\rho _1}}}{k}} $
$\frac{{Vg({\rho _1} - {\rho _2})}}{k}$
A boat carrying a number of stones is floating in a water tank. If the stones are unloaded into water, the water level in the tank will ............
In making an alloy, a substance of specific gravity $s_1$ and mass $m_1$ is mixed with another substance of specific gravity $s_2$ and mass $m_2$ then the specific gravity of the alloy is
Which of the following functions of $A$ and $B$ may be performed if $A$ and $B$ possess different dimensions
If work done in increasing the size of a soap film from $10\, cm\times6\, cm$ to $60\, cm\times11\, cm$ is $2\times10^{-4}\, J$. What is the surface tension ?
The velocity of a small ball of mass $M$ and density $d_1,$ when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $d_2,$ the viscous force acting on the ball will be