1
IIT-JEE 2011 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2

A metal rod of length L and mass m is pivoted at one end. A thin disk of mass M and radius R ( < L) is attached at its centre to the free end of the rod. Consider two ways the disc is attached : (case A). The disc is not free to rotate about its centre and (case B) the disc is free to rotate about its centre. The rod-disc system performs SHM in vertical plane after being released from the same displaced position. Which of the following statement(s) is(are) true?

A
Restoring torque in case A = Restoring torque in case B.
B
Restoring torque in case A < Restoring torque in case B.
C
Angular frequency for case A > Angular frequency for case B.
D
Angular frequency for case A < Angular frequency for case B.
2
IIT-JEE 2011 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2

A composite block is made of slabs A, B, C, D and E of different thermal conductivities (given in terms of a constant K) and sizes (given in terms of length, L) as shown in the figure. All slabs are of same width. Heat Q flows only from left to right through the blocks. Then, in steady-state

A
heat flow through A and E slabs are same.
B
heat flow through slab E is maximum.
C
temperature difference across slab E is smallest.
D
heat flow through C = heat flow through B + heat flow through D.
3
IIT-JEE 2011 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2

An electron and a proton are moving on straight parallel paths with same velocity. They enter a semi-infinite region of uniform magnetic field perpendicular to the velocity. Which of the following statement(s) is/are true?

A
They will never come out of the magnetic field region.
B
They will come out travelling along parallel paths.
C
They will come out at the same time.
D
They will come out at different times.
4
IIT-JEE 2011 Paper 1 Offline
+3
-1

Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed. Here we consider some simple dynamical systems in one-dimension. For such systems, phase space is a plane in which position is plotted along horizontal axis and momentum is plotted along vertical axis. The phase space diagram is x(t) vs. p(t) curve in this plane. The arrow on the curve indicates the time flow. For example, the phase space diagram for a particle moving with constant velocity is a straight line as shown int he figure. We use the sign convention in which position or momentum upwards (or to right) is positive and downwards (or to left) is negative.

The phase space diagram for a ball thrown vertically up from ground is

A
B
C
D
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Joint Entrance Examination