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
$\left( {\frac{{{m_1} + {m_2}}}{{{s_1} + {s_2}}}} \right)$
$\left( {\frac{{{s_1}{s_2}}}{{{m_1} + {m_2}}}} \right)$
$\left[ {\frac{{{m_1} + {m_2}}}{{({m_1}/{s_1}\, + \,{m_2}/{s_2})}}} \right]$
$\left[ {\frac{{({m_1}/{s_1}\, + \,{m_2}/{s_2})}}{{{m_1} + {m_2}}}} \right]$
Consider a water jar of radius $R$ that has water filled up to height $H$ and is kept on a stand of height $h$ (see figure). Through a hole of radius $r(r < < R)$ at its bottom, the water leaks out and the stream of water coming down towards the ground has a shape like a funnel as shown in the figure. If the radius of the cross-section of water stream when it hits the ground is $x$. Then
An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of $2\, m/s$. The mass per unit length of water in the pipe is $100\, kg/m$. ......... $W$ is the power of the engine .
Water is flowing continuously from a tap having an internal diameter $8 \times 10^{-3}\, m$. The water velocity as it leaves the tap is $0.04\, ms^{-1}$. The diameter of the water stream at a distance $8 \times 10^{-1}\, m$ below the tap is close to
When a large bubble rises from the bottom of a lake to the surface, its radius doubles. If atmospheric pressure is equal to that of column of water height $H$, then the depth of lake is
A sphere of mass $M$ and radius $R$ is falling in a viscous fluid. The terminal velocity attained by the falling object will be proportional to