1

### 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
2

### 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
3

### IIT-JEE 2004 Screening

A particle starts sliding down a frictionless inclined plane. If Sn is the distance traveled by it from time t = n - 1 sec to t = n sec, the ratio Sn / Sn+1 is
A
${{2n - 1} \over {2n + 1}}$
B
${{2n + 1} \over {2n}}$
C
${{2n} \over {2n + 1}}$
D
${{2n + 1} \over {2n - 1}}$
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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