An air bubble of $1\, cm$ radius is rising at a steady rate of $2.00\, mm/sec$ through a liquid of density $1.5\, gm$ per $cm^3$. Neglect density of air. If $g$ is $1000\, cm/sec^2$, then the coefficient of viscosity of the liquid is
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A container of mass $M$ containing liquid of mass $m_0$ is kept on weighing machine. A ball of mass $m$ is released from rest from given position. Then choose correct option just after ball is released
An object with uniform density $\rho$ is attached to a spring that is known to stretch linearly with applied force as shown below.When the spring object system is immersed in a liquid of density $\rho_1$ as shown in the above figure, the spring stretches by an amount $x_1\left(\rho > \rho_1\right)$. When the experiment is repeated in a liquid of density $\left(\rho_2 < \rho_1\right)$, the spring stretches by an amount $x_2$. Neglecting any buoyant force on the spring, the density of the object is
A metallic sphere weighing $3 \,kg$ in air is held by a string so as to be completely immersed in a liquid of relative density $0.8$. The relative density of metallic is $10$. The tension in the string is ........ $N$
The pressure acting on a submarine is $3 \times 10^{5}\;Pa$ at a certain depth. If the depth is doubled, the percentage increase in the pressure acting on the submarine would be: (Assume that atmospheric pressure is $1 \times 10^{5} \;Pa$ density of water is $10^{3}\, kg \,m ^{-3}, g =10 \,ms ^{-2}$ )
Two cylindrical vessels of equal cross-sectional area $16\,cm ^{2}$ contain water upto herghts $100\,cm$ and $150\,cm$ respectively. The vessels are interconnected so that the water levels in them become equal. The work done by the force of gravity during the process, is $......J$ [Take density of water $=10^{3}\,kg / m ^{3}$ and $g =10\,ms ^{-2}$ ]
A container of liquid release from the rest, on a smooth inclined plane as shown in the figure. Length of at the inclined plane is sufficient, and assume liquid finally equilibrium. Finally liquid surface makes an angle with horizontal ...... $^o$
A small sphere of mass $m$ is dropped from a great height. After it has fallen $100\; m$ , it has attained its terminal velocity and continues to fall at that speed. The work done by air friction against the sphere during the first $ 100 \;m $ of fall is
A fully loaded boeing aircraft has a mass of $5.4 \times 10^5\,kg$. Its total wing area is $500\,m ^2$. It is in level flight with a speed of $1080\,km / h$. If the density of air $\rho$ is $1.2\,kg\,m ^{-3}$, the fractional increase in the speed of the air on the upper surface of the wing relative to the lower surface in percentage will be $\left( g =10\,m / s ^2\right)$
A bottle has a thin nozzle on top. It is filled with water, held horizontally at a height of $1 \,m$ and squeesed slowly by hands, so that the water jet coming out of the nozzle hits the ground at a distance of $2 \,m$. If the area over which the hands squeese it is $10 \,cm ^{2}$, the force applied by hand is close to .......... $N$ (take, $g=10 \,m / s ^{2}$ and density of water $=1000 \,kg / m ^{3}$ )
A ball of mass $m$ and radius $ r $ is gently released in a viscous liquid. The mass of the liquid displaced by it is $m' $ such that $m > m'$. The terminal velocity is proportional to