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A $U-$tube contains water and methylated spirit separated by mercury. The mercury columns in the two arms are in level with $10.0\; cm$ of water in one arm and $12.5\; cm $ of spirit in the other. if $15.0\; cm$ of water and spirit each are further poured into the respective arms of the tube, what is the difference in the levels (in $cm$) of mercury in the two arms?
The density of the atmosphere at sea level is $1.29 \;kg / m ^{3} .$ Assume that it does not change with altitude. Then how high (in $km$) would the atmosphere extend?
A container of large uniform cross-sectional area $A$ is resting on a horizontal surface holds two immiscible, non-viscous and incompressible liquids of densities $d$ and $2d$ each of height $\frac{H}{2}$ as shown. The lower density of liquid is open to atmosphere. A small hole is made on the wall of container at height $h\left( {h < \frac{H}{2}} \right)$. The initial speed of efflux of the liquid at the hole is
Two uniform solid balls of same density and of radii $r$ and $2r$ are dropped in air and fall vertically downwards. The terminal velocity of the ball with radius $r$ is $1\,cm\,s^{-1}$ , then find the terminal velocity of the ball of radius $2r$ (neglect bouyant force on the balls.) ........... $cm\,s^{-1}$
A liquid $X$ of density $3.36\ g/cm^3$ is poured in a $U-$ tube, which contains $Hg$. Another liquid $Y$ is poured in left arm with height $8\ cm$, upper levels of $X$ and $Y$ are same. What is density of $Y$ .......... $g/cc$
According to Bernoulli's equation $\frac{P}{{\rho g}} + h + \frac{1}{2}\,\frac{{{v^2}}}{g} = {\rm{constant}}$ The terms $A, B$ and $ C$ are generally called respectively:
Two capillary tubes of same radius $r$ but of lengths $l_1$ and $l_2$ are fitted in parallel to the bottom of a vessel. The pressure head is $P$. What should be the length of a single tube that can replace the two tubes so that the rate of flow is same as before
The reading of pressure metre attached with a closed pipe is $4.5 \times 10^4 \mathrm{~N} / \mathrm{m}^2$. On opening the valve, water starts flowing and the reading of pressure metre falls to $2.0 \times 10^4 \mathrm{~N} / \mathrm{m}^2$. The velocity of water is found to be $\sqrt{\mathrm{V}} \mathrm{m} / \mathrm{s}$. The value of $\mathrm{V}$ is__________