1
JEE Main 2022 (Online) 26th July Evening Shift
+4
-1

A body is projected vertically upwards from the surface of earth with a velocity equal to one third of escape velocity. The maximum height attained by the body will be :

(Take radius of earth $$=6400 \mathrm{~km}$$ and $$\mathrm{g}=10 \mathrm{~ms}^{-2}$$ )

A
800 km
B
1600 km
C
2133 km
D
4800 km
2
JEE Main 2022 (Online) 26th July Morning Shift
+4
-1

The percentage decrease in the weight of a rocket, when taken to a height of $$32 \mathrm{~km}$$ above the surface of earth will, be :

$$($$ Radius of earth $$=6400 \mathrm{~km})$$

A
1%
B
3%
C
4%
D
0.5%
3
JEE Main 2022 (Online) 25th July Evening Shift
+4
-1

The length of a seconds pendulum at a height h = 2R from earth surface will be:

(Given R = Radius of earth and acceleration due to gravity at the surface of earth, g = $$\pi$$2 ms$$-$$2)

A
$${2 \over 9}$$ m
B
$${4 \over 9}$$ m
C
$${8 \over 9}$$ m
D
$${1 \over 9}$$ m
4
JEE Main 2022 (Online) 25th July Evening Shift
+4
-1

An object is taken to a height above the surface of earth at a distance $${5 \over 4}$$ R from the centre of the earth. Where radius of earth, R = 6400 km. The percentage decrease in the weight of the object will be :

A
36%
B
50%
C
64%
D
25%
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