1
JEE Main 2017 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
If the Earth has no rotational motion, the weight of a person on the equator is W. Determine the speed with which the earth would have to rotate about its axis so that the person at the equator will weigh $${3 \over 4}$$ W. Radius of the Earth is 6400 km and g=10 m/s2.
A
1.1 $$\times$$ 10−3 rad/s
B
0.83 $$\times$$ 10−3 rad/s
C
0.63 $$\times$$ 10−3 rad/s
D
0.28 $$\times$$ 10−3 rad/s
2
JEE Main 2017 (Offline)
MCQ (Single Correct Answer)
+4
-1
The variation of acceleration due to gravity $$g$$ with distance d from centre of the earth is best represented by (R = Earth’s radius):
A
B
C
D
3
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Figure shows elliptical path abcd of a planet around the sun S such that the area of triangle csa is $${1 \over 4}$$ the area of the ellipse. (See figure) With db as the semimajor axis, and ca as the semiminor axis. If t1 is the time taken for planet to go over path abc and t2 for path taken over cda then :

A
t1 = t2
B
t1 = 2t2
C
t1 = 3t2
D
t1 = 4t2
4
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
A satellite is revolving in a circular orbit at a height $$'h'$$ from the earth's surface (radius of earth $$R;h < < R$$). The minimum increase in its orbital velocity required, so that the satellite could escape from the earth's gravitational field, is close to : (Neglect the effect of atmosphere.)
A
$$\sqrt{2 g R}$$
B
$$\sqrt{g R}$$
C
$$\sqrt{g R / 2}$$
D
$$\sqrt{g R}(\sqrt{2}-1)$$
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