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 $= 10\,ms^{-2}$ )
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Water flows into a cylindrical vessel of large cross-sectional area at a rate of $10^{-4}$ $m^3/s$. It flows out from a hole of area $10^{-4}$ $m^2$, which has been punched through the base. How high does the water rise in the vessel?
Water is flowing with a velocity of $2\,m/s$ in a horizontal pipe where cross-sectional area is $2 \times 10^{-2}\, m^2$ at pressure $4 \times 10^4\, pascal$. The pressure at cross-section of area $0.01\, m^2$ in pascal will be
The blades of a windmill sweep out a circle of area $A$. If the wind flows at a velocity $b$ perpendicular to the circle, then the mass of the air of density $\rho $ passing through it in time $t$ is
The average mass of rain drops is $3.0\times10^{-5}\, kg$ and their avarage terminal velocity is $9\, m/s$. Calculate the energy transferred by rain to each square metre of the surface at a place which receives $100\, cm$ of rain in a year
An empty balloon weighs $1\, g$. The balloon is filled with water to the neck and tied with a massless thread. The weight of balloon alongwith water is $101\, g$. The balloon filled with water is weighed when fully immersed. Then, its weight in water is ...... $g$
An $L-$ shaped glass tube is just immersed in flowing water towards tube as shown. If speed of water current is $V,$ then the height $h$ upto which water rises will be
Acylindrical vessel is filled with a liquid up to height H.A small hole is made in the vessel at a distance $y$ below the liquid surface as shown in figure. The liquid emerging from the hole strike the ground at distance $x$
Water is filled in a cylindrical container to a height of $3m. $ The ratio of the cross-sectional area of the orifice and the beaker is $ 0.1. $ The square of the speed of the liquid coming out from the orifice is ....... $m^2/s^2$ ($g = 10 m/s^2$)