1
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
A particle of mass $$10$$ $$g$$ is kept on the surface of a uniform sphere of mass $$100$$ $$kg$$ and radius $$10$$ $$cm.$$ Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take $$G$$ $$ = 6.67 \times {10^{ - 11}}\,\,N{m^2}/k{g^2}$$)
A
$$3.33 \times {10^{ - 10}}\,J$$
B
$$13.34 \times {10^{ - 10}}\,J$$
C
$$6.67 \times {10^{ - 10}}\,J$$
D
$$6.67 \times {10^{ - 9}}\,J$$
2
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
Out of the following pair, which one does NOT have identical dimensions is
A
angular momentum and Planck's constant
B
impulse and momentum
C
moment of inertia and moment of a force
D
work and torque
3
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
A car starting from rest accelerates at the rate f through a distance S, then continues at constant speed for time t and then decelerates at the rate $${f \over 2}$$ to come to rest. If the total distance traversed is 15 S, then
A
$$S = {1 \over 6}f{t^2}$$
B
$$S = ft$$
C
$$S = {1 \over 4}f{t^2}$$
D
$$S = {1 \over 72}f{t^2}$$
4
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
A particle is moving eastwards with a velocity of 5 m/s. In 10 seconds the velocity changes to 5 m/s northwards. The average acceleration in this time is
A
$${1 \over 2}m{s^{ - 2}}$$ towards north
B
$${1 \over {\sqrt 2 }}m{s^{ - 2}}$$ towards north-east
C
$${1 \over {\sqrt 2 }}m{s^{ - 2}}$$ towards north-west
D
zero
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