1
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
A spherical solid ball of volume $$V$$ is made of a material of density $${\rho _1}$$. It is falling through a liquid of density $${\rho _2}\left( {{\rho _2} < {\rho _1}} \right)$$. Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed $$v,$$ i.e., $${F_{viscous}} = - k{v^2}\left( {k > 0} \right).$$ The terminal speed of the ball is
A
$$\sqrt {{{Vg\left( {{\rho _1} - {\rho _2}} \right)} \over k}} $$
B
$${{{Vg{\rho _1}} \over k}}$$
C
$$\sqrt {{{Vg{\rho _1}} \over k}} $$
D
$${{Vg\left( {{\rho _1} - {\rho _2}} \right)} \over k}$$
2
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
The speed of sound in oxygen $$\left( {{O_2}} \right)$$ at a certain temperature is $$460\,\,m{s^{ - 1}}.$$ The speed of sound in helium $$(He)$$ at the same temperature will be (assume both gases to be ideal)
A
$$1421\,\,m{s^{ - 1}}$$
B
$$500\,\,m{s^{ - 1}}$$
C
$$650\,\,m{s^{ - 1}}$$
D
$$300\,\,m{s^{ - 1}}$$
3
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
$${{{T_1}{T_2}\left( {{P_1}{V_1} + {P_2}{V_2}} \right)} \over {{P_1}{V_1}{T_1} + {P_2}{V_2}{T_2}}}$$
4
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
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