1
JEE Main 2018 (Online) 16th April Morning Slot
+4
-1
Two particles of the same mass m are moving in circular orbits because of force, given by $$F\left( r \right) = {{ - 16} \over r} - {r^3}$$

The first particle is at a distance r = 1, and the second, at r = 4. The best estimate for the ratio of kinetic energies of the first and the second particle is closest to :
A
$$6 \times {10^{ - 2}}$$
B
$$3 \times {10^{ - 3}}$$
C
$${10^{ - 1}}$$
D
$$6 \times {10^{ 2}}$$
2
JEE Main 2018 (Offline)
+4
-1
A particle is moving in a circular path of radius $$a$$ under the action of an attractive potential $$U = - {k \over {2{r^2}}}$$ Its total energy is:
A
$$- {3 \over 2}{k \over {{a^2}}}$$
B
Zero
C
$$- {k \over {4{a^2}}}$$
D
$${k \over {2{a^2}}}$$
3
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
An object is dropped from a height h from the ground. Every time it hits the ground it looses 50% of its kinetic energy. The total distance covered as t $$\to$$ $$\infty$$ is :
A
3h
B
$$\infty$$
C
$${5 \over 3}$$h
D
$${8 \over 3}$$h
4
JEE Main 2017 (Offline)
+4
-1
A time dependent force F = 6t acts on a particle of mass 1 kg. If the particle starts from rest, the work done by the force during the first 1 sec. will be:
A
18 J
B
4.5 J
C
22 J
D
9 J
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