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.

When disc B is brought in contact with disc A, they acquire a common angular velocity in time t. The average frictional torque on one disc by the other during this period is

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

$$\frac{9I\omega}{2t}$$

$$\frac{9I\omega}{3t}$$

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

IIT-JEE 2007 Paper 1 Offline

MCQ (Single Correct Answer)

-1

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 :

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

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

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

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

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