1
AIPMT 2003
MCQ (Single Correct Answer)
+4
-1
A stone is tied to a string of length $$l$$ and is whirled in a vertical circle with the other end of the string as the centre. At a certain instant of time, the stone is at its lowest position and has a speed u. The magnitude of the change in velocity as it reaches a position where the string is horizontal (g being acceleration due to gravity) is
A
$$\sqrt {2\left( {{\mu ^2} - gl} \right)} $$
B
$$\sqrt {{u^2} - gl} $$
C
$$u - \sqrt {{u^2} - 2gl} $$
D
$$\sqrt {2gl} $$
2
AIPMT 2003
MCQ (Single Correct Answer)
+4
-1
A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length L and height h. What is the speed of its centre of mass when the cylinder reaches its bottom ?
A
$$\sqrt {2gh} $$
B
$$\sqrt {{3 \over 4}gh} $$
C
$$\sqrt {{4 \over 3}gh} $$
D
$$\sqrt {4gh} $$
3
AIPMT 2003
MCQ (Single Correct Answer)
+4
-1
A thin circular ring of mass M and radius r is rotating about its axis with a constant angular velocity $$\omega $$. Four objects each of mass m, are kept gently to the opposite ends of two perpendicular diameters of the ring. The angular velocity of the ring will be :
A
$${{M\omega } \over {4m}}$$
B
$${{M\omega } \over {M + 4m}}$$
C
$${{\left( {M + 4m} \right)\omega } \over M}$$
D
$${{\left( {M - 4m} \right)\omega } \over {M + 4m}}$$
4
AIPMT 2003
MCQ (Single Correct Answer)
+4
-1
The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of 2 m on the surface of A. What is the height of jump by the same person on the planet B?
A
(2/9) m
B
18 m
C
6 m
D
(2/3) m
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