1
JEE Main 2023 (Online) 10th April Morning Shift
+4
-1

Two satellites of masses m and 3m revolve around the earth in circular orbits of radii r & 3r respectively. The ratio of orbital speeds of the satellites respectively is

A
3 : 1
B
$$\sqrt3$$ : 1
C
1 : 1
D
9 : 1
2
JEE Main 2023 (Online) 10th April Morning Shift
+4
-1

Assuming the earth to be a sphere of uniform mass density, the weight of a body at a depth $$d=\frac{R}{2}$$ from the surface of earth, if its weight on the surface of earth is 200 N, will be:

(Given R = radius of earth)

A
100 N
B
400 N
C
300 N
D
500 N
3
JEE Main 2023 (Online) 8th April Evening Shift
+4
-1

The acceleration due to gravity at height $$h$$ above the earth if $$h << \mathrm{R}$$ (Radius of earth) is given by

A
$$g^{\prime}=g\left(1-\frac{2 h}{R}\right)$$
B
$$g^{\prime}=g\left(1-\frac{2 h^{2}}{R^{2}}\right)$$
C
$$g^{\prime}=g\left(1-\frac{h^{2}}{2 R^{2}}\right)$$
D
$$g^{\prime}=g\left(1-\frac{h}{2 R}\right)$$
4
JEE Main 2023 (Online) 8th April Evening Shift
+4
-1

The orbital angular momentum of a satellite is L, when it is revolving in a circular orbit at height h from earth surface. If the distance of satellite from the earth centre is increased by eight times to its initial value, then the new angular momentum will be -

A
9L
B
8L
C
4L
D
3L
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