For the purpose of oceanography and meteorology, Pakistan has launched a Remote Sensing Satellite System (RSSS) at an altitude of 7 x 10^5 m above the ground station.At the time of launch, the orbital velocity of the artificial satellite was calculated as(Note: The value of gravitational constant, mass and radius of Earth are 6.67 x 10" Nm³/kg.5.9 x 10 kg and 6.3 × 10º m respectively.)
Correct answer: D. 7.4 x 10^3 m/s.
- A. 5.6 x 10^7 m/s.
- B. 6.2 x 10^7 m/s.
- C. 6.8 x 10^3 m/s.
- D. 7.4 x 10^3 m/s.
Explanation
To find the orbital velocity, we use the formula v = √(GM/(R+h)), where G is the gravitational constant (6.67 x 10-11 Nm²/kg²), M is the mass of Earth (5.9 x 1024 kg), R is the radius of Earth (6.3 x 106 m), and h is the altitude of the satellite (7 x 105 m). Calculating this gives an orbital velocity of approximately 7.4 x 103 m/s. The other options are either too high or incorrect based on the calculations.
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