1
AP EAPCET 2022 - 4th July Evening Shift
+1
-0

A uniform solid sphere of radius $$R$$ produces a gravitational acceleration of $$a_0$$ on its surface. The distance of the point from the centre of the sphere where the gravitational acceleration becomes $$\frac{a_0}{4}$$ is

A
4R
B
$$\frac{3}{2}$$R
C
2R
D
3R
2
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

A projectile is thrown straight upward from the earth's surface with an initial speed $$v=\alpha v_e$$ where $$\alpha$$ is a constant and $$v_e$$ is the escape speed. The projectile travels upto a height 800 km from earth's surface, before it comes to rest. The value of the constant $$\alpha$$ is (radius of the earth $$=6400 \mathrm{~km}$$)

A
$$\frac{1}{3}$$
B
$$\frac{1}{2}$$
C
$$\frac{2}{3}$$
D
$$\frac{3}{4}$$
3
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

The gravitational potential energy is maximum at

A
infinity
B
the earth's surface
C
the centre of the earth
D
twice the radius of the earth
4
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

A geostationary satellite is taken to a new orbit, such that its distance from centre of the earth is doubled. Then, find the time period of this satellite in the new orbit.

A
24 h
B
4.8 h
C
48$$\sqrt2$$ h
D
24$$\sqrt2$$ h
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