1
VITEEE 2023
MCQ (Single Correct Answer)
+4
-1

A geostationary satellite revolves around the Earth in a circular orbit of radius $$4 R$$. Here, $R$ is the radius of the Earth. Then, the time period of another satellite moving in a circular orbit of radius $$2 R$$ is:

A

$$2 T_1$$

B

$$2 \sqrt{2} T_1$$

C

$$T_1 / 2$$

D

$$T_1 / 2 \sqrt{2}$$

2
VITEEE 2022
MCQ (Single Correct Answer)
+4
-1

A skylab or mass $$m \mathrm{~kg}$$ is first launched from the surface of the earth in a circular orbit of radius $$2 R$$ (from the centre of the earth) and then it is shifted from this circular orbit to another circular orbit of radius $$3 R$$. The minimum energy required to place the lab in the first orbit and to shift the lab from first orbit to the second orbit are

A
$$\frac{3}{4} m g R, \frac{m g R}{6}$$
B
$$\frac{3}{4} m g R, \frac{m g R}{12}$$
C
$$m g R, m g R$$
D
$$2 m g R, m g R$$

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