1
JEE Main 2022 (Online) 27th July Morning Shift
+4
-1

Two satellites $$\mathrm{A}$$ and $$\mathrm{B}$$, having masses in the ratio $$4: 3$$, are revolving in circular orbits of radii $$3 \mathrm{r}$$ and $$4 \mathrm{r}$$ respectively around the earth. The ratio of total mechanical energy of $$\mathrm{A}$$ to $$\mathrm{B}$$ is :

A
9 : 16
B
16 : 9
C
1 : 1
D
4 : 3
2
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
3
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%
4
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
EXAM MAP
Medical
NEET