The planet Mars has two moons, Phobos and Delmos. Phobos has a period of \(7\) hours, \(39\) minutes and an orbital radius of 9.4×103 km. The mass of mars is:
1. 6.48×1023 kg
2. 6.48×1025 kg
3. 6.48×1020 kg
4. 6.48×1021 kg

Subtopic:  Satellite |
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You are given the following data: g 9.81 m/s2, RE = 6.37×106 m, the distance to the moon, R = 3.84×108 m and the time period of the moon’s revolution is 27.3 days. Mass of the Earth ME in two different ways is:

1.   5.97×1024 kg and 6.02×1024 kg

2.   5.97×1024 kg and 6.02×1023 kg

3.   5.97×1023 kg and 6.02×1024 kg

4.   5.97×1023 kg and 6.02×1023 kg

Subtopic:  Satellite |
 55%
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Constant k = 10-13 s2m-3 in days and kilometres is?

1.   10-13 d2km-3

2.   1.33×1014 dkm-3

3.   10-13 d2km

4.   1.33×10-14 d2km-3

Subtopic:  Satellite |
 57%
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The moon is at a distance of \(3.84\times10^5~\text{km}\) from the earth. Its time period of revolution in days is: \((\text{Given }k=\frac{4\pi^2}{GM_E}=1.33\times10^{-14}~\text{days}^{2}-\text{km}^{-3})\)
1. \(17.3\) days
2. \(33.7\) days
3. \(27.3\) days
4. \(4\) days
Subtopic:  Satellite |
 63%
From NCERT
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A \(400\) kg satellite is in a circular orbit of radius \(2R_E\) (where \(R_E\) is the radius of the earth) about the Earth. How much energy is required to transfer it to a circular orbit of radius \(4R_E\)\(?\) (Given \(R_E=6.4\times10^{6}\) m)
1. \(3.13\times10^{9}\) J
2. \(3.13\times10^{10}\) J
3. \(4.13\times10^{9}\) J
4. \(4.13\times10^{8}\) J

Subtopic:  Satellite |
 58%
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A 400 kg satellite is in a circular orbit of radius 2RE about the Earth. What are the changes in the kinetic and potential energies respectively to transfer it to a circular orbit of radius 4RE. (where RE is the radius of the earth)

1. 3.13×109 J and 6.25×109 J

2. 3.13×109 J and -6.25×109 J

3. -3.13×109 J and -6.25×109 J

4. -3.13×108 J and -6.25×108 J

Subtopic:  Satellite |
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