1
IIT-JEE 2012 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0.75
A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating
vertically in water in half-submerged state. If $${\rho _c}$$ is the relative density of the material of the shell
with respect to water, then the correct statement is that the shell is
2
IIT-JEE 2010 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0.75
When liquid medicine of density $$\rho $$ is to be put in the eye, it is done with the help of a dropper. As the bulb on the
top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop.
We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its
surface energy. To determine the size, we calculate the net vertical force due to the surface tension T when the
radius of the drop is R. When the force becomes smaller than the weight of the drop, the drop gets detached from the
dropper.
If the radius of the opening of the dropper is $$r$$, the vertical force due to the surface tension on the drop of radius R (assuming $$r$$ << R) is
3
IIT-JEE 2010 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0.75
When liquid medicine of density $$\rho $$ is to be put in the eye, it is done with the help of a dropper. As the bulb on the
top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop.
We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its
surface energy. To determine the size, we calculate the net vertical force due to the surface tension T when the
radius of the drop is R. When the force becomes smaller than the weight of the drop, the drop gets detached from the
dropper.
If r = 5 $$ \times $$ 10−4 m, $$\rho $$ = 103 kg m−3 , g = 10 m/s2 , T = 0.11 Nm−1 , the radius of the drop when it detaches from the dropper is approximately
4
IIT-JEE 2010 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0.75
When liquid medicine of density $$\rho $$ is to be put in the eye, it is done with the help of a dropper. As the bulb on the
top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop.
We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its
surface energy. To determine the size, we calculate the net vertical force due to the surface tension T when the
radius of the drop is R. When the force becomes smaller than the weight of the drop, the drop gets detached from the
dropper.
After the drop detaches, its surface energy is
Questions Asked from Properties of Matter (MCQ (Single Correct Answer))
Number in Brackets after Paper Indicates No. of Questions
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IIT-JEE 2008 Paper 1 Offline (4)
IIT-JEE 2007 Paper 2 Offline (2)
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