1

### IIT-JEE 2012

Consider a disc rotating in the horizontal plane with a constant angular speed $\omega$ about its centre O. The disc has a shaded region on one side of the diameter and an unshaded region on the other side as shown in the figure. When the disc is in the orientation as shown, two pebbles P and Q are simultaneously projected at an angle towards R. The velocity of projection is in the y - z plane and is same for both pebbles with respect to the disc. Assume that (i) they land back on the disc before the disc has completed ${1 \over 8}$ rotation, (ii) their range is less than half the disc radius, and (iii) $\omega$ remains constant throughout. Then
A
P lands in the shaded region and Q in the unshaded region.
B
P lands in the unshaded region and Q in the shaded region.
C
Both P and Q land in the unshaded region.
D
Both P and Q land in the shaded region.
2

### IIT-JEE 2012

Two identical discs of same radius R are rotating about their axes in opposite directions with the same constant angular speed $\omega$. The discs are in the same horizontal plane. At time t = 0, the points P and Q are facing each other as shown in the figure. The relative speed between the two points P and Q is vr. In one time period (T) of rotation of the discs, vr as a function of time is best represented by
A
B
C
D
3

### IIT-JEE 2008

STATEMENT-1: For an observer looking out through the window of a fast moving train, the nearby objects appear to move in the opposite direction to the train, while the distant objects appear to be stationary.

STATEMENT-2: If the observer and the object are moving at velocities ${\overrightarrow v _1}$ and ${\overrightarrow v _2}$ respectively with reference to a laboratory frame, the velocity of the object with respect to the observer is ${\overrightarrow v _2}$ - ${\overrightarrow v _1}$.

A
STATEMENT - 1 is True, STATEMENT - 2 is True; STATEMENT - 2 is a correct explanation for STATEMENT ,- 1
B
STATEMENT - 1 is True, STATEMENT - 2 is True; STATEMENT - 2 is NOT a correct explanation for STATEMENT - 1
C
STATEMENT - 1 is True, STATEMENT - 2 is False
D
STATEMENT - 1 is False, STATEMENT - 2 is True
4

### IIT-JEE 2004 Screening

A body starts from rest at time t = 0, the acceleration time graph is shown in the figure. The maximum velocity attained by the body will be
A
110 m/s
B
55 m/s
C
650 m/s
D
550 m/s

On those following papers in MCQ (Single Correct Answer)
Number in Brackets after Paper Indicates No. of Questions
IIT-JEE 2012 (2)
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IIT-JEE 2008 (1)
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IIT-JEE 2004 Screening (2)
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IIT-JEE 1988 (1)
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IIT-JEE 1983 (1)
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