1
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
$$\sqrt {4gh} $$
2
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
$$\sqrt {2gl} $$
3
AIPMT 2003
MCQ (Single Correct Answer)
+4
-1
The volume occupied by an atom is greater than the volume of the nucleus by a factor of about
A
101
B
105
C
1010
D
1015
4
AIPMT 2003
MCQ (Single Correct Answer)
+4
-1
Two spheres of masses m and M are situated in air and the gravitational force between them is F. The space around the masses is now filled with a liquid of specific gravity 3. The gravitational force will now be
A
3 F
B
F
C
F/3
D
F/9