IIT-JEE 2007 Paper 1 Offline | JEE Advanced Year Wise Previous Years Questions

IIT-JEE 2007 Paper 1 Offline

MCQ (Single Correct Answer)

-1

Two discs $A$ and $B$ are mounted coaxially on a vertical axle. The discs have moment of inertia $I$ and $2 I$ respectively about the common axis. Disc $A$ is imparted an initial angular velocity $2 \omega$ using the entire potential energy of a spring compressed by a distance $x_1$. Disc $B$ is imparted an angular velocity $\omega$ by a spring having the same spring constant and compressed by a distance $x_2$. Both the discs rotate in the clockwise direction.

The loss of kinetic energy during the above process is :

$$\frac{I\omega^2}{2}$$

$$\frac{I\omega^2}{3}$$

$$\frac{I\omega^2}{4}$$

$$\frac{I\omega^2}{6}$$

IIT-JEE 2007 Paper 1 Offline

MCQ (Single Correct Answer)

-1

A fixed thermally conducting cylinder has a radius $R$ and height $L_0$. The cylinder is open at its bottom and has a small hole at its top. A piston of mass $M$ is held at a distance $L$ from the top surface, as shown in the figure. The atmospheric pressure is $P_0$.

IIT-JEE 2007 Paper 1 Offline Physics - Heat and Thermodynamics Question 27 English Comprehension

The piston is now pulled out slowly and held at a distance 2L from the top. The pressure in the cylinder between its top and the piston will then be

P$$_0$$

$${{{P_0}} \over 2}$$

$${{{P_0}} \over 2} + {{Mg} \over {\pi {R^2}}}$$

$${{{P_0}} \over 2} - {{Mg} \over {\pi {R^2}}}$$

IIT-JEE 2007 Paper 1 Offline

MCQ (Single Correct Answer)

-1

IIT-JEE 2007 Paper 1 Offline Physics - Motion Question 3 English Comprehension

While the piston is at a distance 2L from the top, the hole at the top is sealed. The piston is then released, to a position where it can stay in equilibrium. In this condition, the distance of the piston from the top is :

$$\left( {{{2{P_0}\pi {R^2}} \over {\pi {R^2}{P_0} + Mg}}} \right)(2L)$$

$$\left( {{{{P_0}\pi {R^2} - Mg} \over {\pi {R^2}{P_0}}}} \right)(2L)$$

$$\left( {{{{P_0}\pi {R^2} + Mg} \over {\pi {R^2}{P_0}}}} \right)(2L)$$

$$\left( {{{{P_0}\pi {R^2}} \over {\pi {R^2}{P_0} - Mg}}} \right)(2L)$$

IIT-JEE 2007 Paper 1 Offline

MCQ (Single Correct Answer)

-1

The piston is taken completely out of the cylinder. The hole at the top is sealed. A water tank is brought below the cylinder and put in a position so that the water surface in the tank is at the same level as the top of the cylinder as shown in the figure. The density of the water is $$\rho$$. In equilibrium, the height H of the water column in the cylinder satisfies

IIT-JEE 2007 Paper 1 Offline Physics - Heat and Thermodynamics Question 26 English

$$\rho g{({L_0} - H)^2} + {P_0}({L_0} - H) + {L_0}{P_0} = 0$$

$$\rho g{({L_0} - H)^2} - {P_0}({L_0} - H) - {L_0}{P_0} = 0$$

$$\rho g{({L_0} - H)^2} + {P_0}({L_0} - H) - {L_0}{P_0} = 0$$

$$\rho g{({L_0} - H)^2} - {P_0}({L_0} - H) + {L_0}{P_0} = 0$$

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