1
IIT-JEE 2007 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

Water is filled up to a height $$h$$ in a beaker of radius $$R$$ as shown in the figure. The density of water is $$\rho$$, the surface tension of water is $$T$$ and the atmospheric pressure is P. Consider a vertical section $$A B C D$$ of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude

IIT-JEE 2007 Paper 2 Offline Physics - Properties of Matter Question 9 English

A
$$\left|2 \mathrm{P}_{0} \mathrm{Rh}+\pi \mathrm{R}^{2} \rho g h-2 \mathrm{RT}\right|$$
B
$$\left|2 \mathrm{P}_{0} \mathrm{Rh}+\pi \mathrm{R \rho gh}^{2}-2 \mathrm{RT}\right|$$
C
$$\left|P_{0} \pi R^{2}+R \rho g h^{2}-2 R T\right|$$
D
$$\left|\mathrm{P}_{0} \mathrm{R}^{2}+\mathrm{R} \rho g \mathrm{~h}^{2}+2 \mathrm{RT}\right|$$
2
IIT-JEE 2007 Paper 2 Offline
MCQ (Single Correct Answer)
+4
-0

Column I gives some devices and Column II gives some process on which the functioning of these devices depend. Match the devices in Column I with the processes in Column II and indicate your answer by darkening appropriate bubbles in the $$4 \times 4$$ matrix given in the ORS.

Column I Column II
(A) Bimetallic strip (P) Radiation from a hot body
(B) Steam engine (Q) Energy conversion
(C) Incandescent lamp (R) Melting
(D) Electric fuse (S) Thermal expansion

A
$$[\mathrm{A} \rightarrow(\mathrm{Q, S}); \mathrm{B} \rightarrow(\mathrm{R}); \mathrm{C} \rightarrow(\mathrm{P}); \mathrm{D} \rightarrow(\mathbf{R})]$$
B
$$[\mathrm{A} \rightarrow(\mathrm{R, S}); \mathrm{B} \rightarrow(\mathrm{R}); \mathrm{C} \rightarrow(\mathrm{P}); \mathrm{D} \rightarrow(\mathbf{R, S})]$$
C
$$[\mathrm{A} \rightarrow(\mathrm{S}); \mathrm{B} \rightarrow(\mathrm{Q}); \mathrm{C} \rightarrow(\mathrm{P}); \mathrm{D} \rightarrow(\mathbf{R})]$$
D
$$[\mathrm{A} \rightarrow(\mathrm{P, S}); \mathrm{B} \rightarrow(\mathrm{R}); \mathrm{C} \rightarrow(\mathrm{P}); \mathrm{D} \rightarrow(\mathbf{R})]$$
3
IIT-JEE 2006
MCQ (Single Correct Answer)
+3
-1
A wooden cylinder of diameter $4 r$, height $h$ and density $\frac{\rho}{3}$ is kept on a hole of diameter $2 r$ of a tank, filled with water of density $\rho$ as shown in the figure. The height of the base of cylinder from the base of tank is H .IIT-JEE 2006 Physics - Properties of Matter Question 3 English Comprehension

If the level of liquid starts decreasing slowly when the level of liquid is at a height $h_1$ above the cylinder, the block just starts moving up. Then, the value of $h_1$ is:

A

$\frac{2 h}{3}$

B

$\frac{5 h}{4}$

C

$\frac{5 h}{3}$

D

$\frac{5 h}{2}$

4
IIT-JEE 2006
MCQ (Single Correct Answer)
+3
-1
A wooden cylinder of diameter $4 r$, height $h$ and density $\frac{\rho}{3}$ is kept on a hole of diameter $2 r$ of a tank, filled with water of density $\rho$ as shown in the figure. The height of the base of cylinder from the base of tank is H .IIT-JEE 2006 Physics - Properties of Matter Question 2 English Comprehension

Let the cylinder is prevented from moving up, by applying a force and water level is further decreased. Then, the height of water level ( $h_2$ in the figure) for which the cylinder remains in original position without application of force is

A

$\frac{h}{3}$

B

$\frac{4 h}{9}$

C

$\frac{2 h}{3}$

D

$h$

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