1
JEE Main 2023 (Online) 24th January Morning Shift
+4
-1 The weight of a body at the surface of earth is 18 N. The weight of the body at an altitude of 3200 km above the earth's surface is (given, radius of earth $$\mathrm{R_e=6400~km}$$) :

A
9.8 N
B
4.9 N
C
19.6 N
D
8 N
2
JEE Main 2022 (Online) 29th July Evening Shift
+4
-1 An object of mass $$1 \mathrm{~kg}$$ is taken to a height from the surface of earth which is equal to three times the radius of earth. The gain in potential energy of the object will be [If, $$\mathrm{g}=10 \mathrm{~ms}^{-2}$$ and radius of earth $$=6400 \mathrm{~km}$$ ]

A
48 MJ
B
24 MJ
C
36 MJ
D
12 MJ
3
JEE Main 2022 (Online) 28th July Evening Shift
+4
-1 Assume there are two identical simple pendulum clocks. Clock - 1 is placed on the earth and Clock - 2 is placed on a space station located at a height h above the earth surface. Clock - 1 and Clock - 2 operate at time periods 4 s and 6 s respectively. Then the value of h is -

(consider radius of earth $$R_{E}=6400 \mathrm{~km}$$ and $$\mathrm{g}$$ on earth $$10 \mathrm{~m} / \mathrm{s}^{2}$$ )

A
1200 km
B
1600 km
C
3200 km
D
4800 km
4
JEE Main 2022 (Online) 28th July Morning Shift
+4
-1 If the radius of earth shrinks by $$2 \%$$ while its mass remains same. The acceleration due to gravity on the earth's surface will approximately :

A
decrease by $$2 \%$$
B
decrease by $$4 \%$$
C
increase by $$2 \%$$
D
increase by $$4 \%$$
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