1
AIEEE 2011
MCQ (Single Correct Answer)
+4
-1
A mass $$m$$ hangs with the help of a string wrapped around a pulley on a frictionless bearing. The pulley has mass $$m$$ and radius $$R.$$ Assuming pulley to be a perfect uniform circular disc, the acceleration of the mass $$m,$$ if the string does not slip on the pulley, is:
A
$$g$$
B
$${2 \over 3}g$$
C
$${g \over 3}$$
D
$${3 \over 2}g$$
2
AIEEE 2011
MCQ (Single Correct Answer)
+4
-1
A pulley of radius $$2$$ $$m$$ is rotated about its axis by a force $$F = \left( {20t - 5{t^2}} \right)$$ newton (where $$t$$ is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is $$10kg$$-$${m^2}$$ the number of rotation made by the pulley before its direction of motion is reversed, is:
A
more than $$3$$ but less than $$6$$
B
more than $$6$$ but less than $$9$$
C
more than $$9$$
D
less than $$3$$
3
AIEEE 2011
MCQ (Single Correct Answer)
+4
-1
Two bodies of masses $$m$$ and $$4$$ $$m$$ are placed at a distance $$r.$$ The gravitational potential at a point on the line joining them where the gravitational field is zero is:
A
$$ - {{4Gm} \over r}$$
B
$$ - {{6Gm} \over r}$$
C
$$ - {{9Gm} \over r}$$
D
zero
4
AIEEE 2011
MCQ (Single Correct Answer)
+4
-1
Work done in increasing the size of a soap bubble from a radius of $$3$$ $$cm$$ to $$5$$ $$cm$$ is nearly (Surface tension of soap solution $$ = 0.03N{m^{ - 1}},$$
A
$$0.2\pi mJ$$
B
$$2\pi mJ$$
C
$$0.4\pi mJ$$
D
$$4\pi mJ$$
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