1
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1
The energy required to take a satellite to a height 'h' above Earth surface (radius of Earth = 6.4 $$\times$$ 103 km) is E1 and kinetic energy required for the satellite to be in a circular orbit at this height is E2. The value of h for which E1 and E2 are equal, is
A
1.6 $$\times$$ 103 km
B
3.2 $$\times$$ 103 km
C
6.4 $$\times$$ 103 km
D
1.28 $$\times$$ 104 km
2
JEE Main 2018 (Online) 16th April Morning Slot
+4
-1
Suppose that the angular velocity of rotation of earth is increased. Then, as a consequence :
A
Weight of the object, everywhere on the earth, will increase.
B
Weight of the object, everywhere on the earth, will decrease.
C
There will be no change in weight anywhere on the earth.
D
Except at poles, weight of the object on the earth will decrease.
3
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
$${k \over {2{a^2}}}$$
4
JEE Main 2018 (Offline)
+4
-1
A particle is moving with a uniform speed in a circular orbit of radius R in a central force inversely proportional to the nth power of R. If the period of rotation of the particle is T, then :
A
T $$\propto$$ Rn/2
B
T $$\propto$$ R3/2 for any n
C
T $$\propto$$ Rn/2 +1
D
T $$\propto$$ R(n+1)/2
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