1
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
2
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%
3
JEE Main 2022 (Online) 25th July Morning Shift
+4
-1

Three identical particles $$\mathrm{A}, \mathrm{B}$$ and $$\mathrm{C}$$ of mass $$100 \mathrm{~kg}$$ each are placed in a straight line with $$\mathrm{AB}=\mathrm{BC}=13 \mathrm{~m}$$. The gravitational force on a fourth particle $$\mathrm{P}$$ of the same mass is $$\mathrm{F}$$, when placed at a distance $$13 \mathrm{~m}$$ from the particle $$\mathrm{B}$$ on the perpendicular bisector of the line $$\mathrm{AC}$$. The value of $$\mathrm{F}$$ will be approximately :

A
21 G
B
100 G
C
59 G
D
42 G
4
JEE Main 2022 (Online) 30th June Morning Shift
+4
-1

The radii of two planets A and B are in the ratio 2 : 3. Their densities are 3$$\rho$$ and 5$$\rho$$ respectively. The ratio of their acceleration due to gravity is :

A
9 : 4
B
9 : 8
C
9 : 10
D
2 : 5
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