1
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume $${V_1}$$ and contains ideal gas at pressure $${P_1}$$ and temperature $${T_1}$$. The other chamber has volume $${V_2}$$ and contains ideal gas at pressure $${P_2}$$ and temperature $${T_2}$$. If the partition is removed without doing any work on the gas, the final equilibrium temperature of the gas in the container will be
A
$${{{T_1}{T_2}\left( {{P_1}{V_1} + {P_2}{V_2}} \right)} \over {{P_1}{V_1}{T_2} + {P_2}{V_2}{T_1}}}$$
B
$${{{P_1}{V_1}{T_1} + {P_2}{V_2}{T_2}} \over {{P_1}{V_1} + {P_2}{V_2}}}$$
C
$${{{P_1}{V_1}{T_2} + {P_2}{V_2}{T_1}} \over {{P_1}{V_1} + {P_2}{V_2}}}$$
D
$${{{T_1}{T_2}\left( {{P_1}{V_1} + {P_2}{V_2}} \right)} \over {{P_1}{V_1}{T_1} + {P_2}{V_2}{T_2}}}$$
2
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
A thin rod of length $$'L'$$ is lying along the $$x$$-axis with its ends at $$x=0$$ and $$x=L$$. Its linear density (mass/length) varies with $$x$$ as $$k{\left( {{x \over L}} \right)^n},$$ where $$n$$ can be zero or any positive number. If the position $${X_{CM}}$$ of the center of mass of the rod is plotted against $$'n',$$ which of the following graphs best approximates the dependence of $${X_{CM}}$$ on $$n$$?
A
AIEEE 2008 Physics - Center of Mass and Collision Question 100 English Option 1
B
AIEEE 2008 Physics - Center of Mass and Collision Question 100 English Option 2
C
AIEEE 2008 Physics - Center of Mass and Collision Question 100 English Option 3
D
AIEEE 2008 Physics - Center of Mass and Collision Question 100 English Option 4
3
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
A capillary tube (A) is dipped in water. Another identical tube (B) is dipped in a soap-water solution. Which of the following shows the relative nature of the liquid columns in the two tubes?
A
AIEEE 2008 Physics - Properties of Matter Question 208 English Option 1
B
AIEEE 2008 Physics - Properties of Matter Question 208 English Option 2
C
AIEEE 2008 Physics - Properties of Matter Question 208 English Option 3
D
AIEEE 2008 Physics - Properties of Matter Question 208 English Option 4
4
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
A jar is filled with two non-mixing liquids $$1$$ and $$2$$ having densities $${\rho _1}$$ and $${\rho _2}$$ respectively. A solid ball, made of a material of density $${\rho _3}$$, is dropped in the jar. It comes to equilibrium in the position shown in the figure. Which of the following is true for $${\rho _1}$$ , $${\rho _1}$$ and $${\rho _3}$$ ? AIEEE 2008 Physics - Properties of Matter Question 209 English
A
$${\rho _3} < {\rho _1} < \rho {}_2$$
B
$${\rho _1} > {\rho _3} > \rho {}_2$$
C
$${\rho _1} < {\rho _2} < \rho {}_3$$
D
$${\rho _1} < {\rho _3} < \rho {}_2$$
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