1
JEE Main 2014 (Offline)
+4
-1
An open glass tube is immersed in mercury in such a way that a length of $$8$$ $$cm$$ extends above the mercury level. The open end of the tube is then closed and scaled and the tube is raised vertically up by additional $$46$$ $$cm$$. What will be length of the air column above mercury in the tube now? (Atmospheric pressure $$=76$$ $$cm$$ of $$Hg$$)
A
$$16$$ $$cm$$
B
$$22$$ $$cm$$
C
$$38$$ $$cm$$
D
$$6$$ $$cm$$
2
JEE Main 2014 (Offline)
+4
-1
On heating water, bubbles being formed at the bottom of the vessel detach and rise. Take the bubbles to be spheres of radius $$R$$ and making a circular contact of radius $$r$$ with the bottom $$R$$ and making a circular contact of radius $$r$$ with the bottom of the vessel. If $$r < < R$$ and the surface tension of water is $$T,$$ value of $$r$$ just before bubbles detach is: (density of water is $${\rho _w}$$) A
$${R^2}\sqrt {{{{\rho _w}g} \over {3T}}}$$
B
$${R^2}\sqrt {{{{\rho _w}g} \over {6T}}}$$
C
$${R^2}\sqrt {{{{\rho _w}g} \over {T}}}$$
D
$${R^2}\sqrt {{{{2\rho _w}g} \over {3T}}}$$
3
JEE Main 2013 (Offline)
+4
-1
A uniform cylinder of length $$L$$ and mass $$M$$ having cross-sectional area $$A$$ is suspended, with its length vertical, from a fixed point by a mass-less spring such that it is half submerged in a liquid of density $$\sigma$$ at equilibrium position. The extension $${x_0}$$ of the spring when it is in equilibrium is:
A
$${{Mg} \over k}$$
B
$${{Mg} \over k}\left( {1 - {{LA\sigma } \over M}} \right)$$
C
$${{Mg} \over k}\left( {1 - {{LA\sigma } \over {2M}}} \right)$$
D
$${{Mg} \over k}\left( {1 + {{LA\sigma } \over M}} \right)$$
4
JEE Main 2013 (Offline)
+4
-1
Assume that a drop of liquid evaporates by decreases in its surface energy, so that its temperature remains unchanged. What should be the minimum radius of the drop for this to be possible ? The surface tension is $$T,$$ density of liquid is $$\rho$$ and $$L$$ is its latent heat of vaporization.
A
$$\rho L/T$$
B
$$\sqrt {T/\rho L}$$
C
$$T/\rho L$$
D
$$2T/\rho L$$
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