1
JEE Main 2021 (Online) 25th July Evening Shift
+4
-1
Consider a planet in some solar system which has a mass double the mass of earth and density equal to the average density of earth. If the weight of an object on earth is W, the weight of the same object on that planet will be :
A
2W
B
W
C
$${2^{{1 \over 3}}}$$W
D
$$\sqrt 2$$W
2
JEE Main 2021 (Online) 25th July Morning Shift
+4
-1
The minimum and maximum distances of a planet revolving around the sun are x1 and x2. If the minimum speed of the planet on its trajectory is v0 then its maximum speed will be :
A
$${{{v_0}x_1^2} \over {x_2^2}}$$
B
$${{{v_0}x_2^2} \over {x_1^2}}$$
C
$${{{v_0}x_1^{}} \over {x_2^{}}}$$
D
$${{{v_0}x_2^{}} \over {x_1^{}}}$$
3
JEE Main 2021 (Online) 22th July Evening Shift
+4
-1
A body is projected vertically upwards from the surface of earth with a velocity sufficient enough to carry it to infinity. The time taken by it to reach height h is ___________ s.
A
$$\sqrt {{{2{R_e}} \over g}} \left[ {{{\left( {1 + {h \over {{R_e}}}} \right)}^{{3 \over 2}}} - 1} \right]$$
B
$${1 \over 3}\sqrt {{{{R_e}} \over {2g}}} \left[ {{{\left( {1 + {h \over {{R_e}}}} \right)}^{{3 \over 2}}} - 1} \right]$$
C
$$\sqrt {{{{R_e}} \over {2g}}} \left[ {{{\left( {1 + {h \over {{R_e}}}} \right)}^{{3 \over 2}}} - 1} \right]$$
D
$${1 \over 3}\sqrt {{{2{R_e}} \over g}} \left[ {{{\left( {1 + {h \over {{R_e}}}} \right)}^{{3 \over 2}}} - 1} \right]$$
4
JEE Main 2021 (Online) 20th July Evening Shift
+4
-1
A satellite is launched into a circular orbit of radius R around earth, while a second satellite is launched into a circular orbit of radius 1.02 R. The percentage difference in the time periods of the two satellites is :
A
1.5
B
2.0
C
0.7
D
3.0
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