Question

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Answer (Detailed Solution Below)

Option 2 : 5.66 km/s / 5.66 km/s

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Detailed Solution

सही उत्तर 5.66 km/s / 5.66 km/s है।

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PrepSnapprepsnap.in • Part -A

Question:

Taking $g = 10$ m/s² and Earth's radius $R = 6.4 \times 10^{6}$ m, the orbital speed of a satellite revolving at a height $R$ above Earth's surface is / $g = 10$ m/s² तथा पृथ्वी की त्रिज्या $R = 6.4 \times 10^{6}$ m लेकर, पृथ्वी की सतह से $R$ ऊँचाई पर परिक्रमण करते उपग्रह की कक्षीय चाल है

1.
8.00 km/s / 8.00 km/s
2.
5.66 km/s / 5.66 km/s
3.
11.20 km/s / 11.20 km/s
4.
2.83 km/s / 2.83 km/s

Correct Answer: 5.66 km/s / 5.66 km/s

$v = \sqrt{\dfrac{gR^{2}}{r}} = \sqrt{\dfrac{gR}{2}} = \sqrt{3.2 \times 10^{7}} = 5.66 \times 10^{3}$ m/s $= 5.66$ km/s. / $v = \sqrt{\dfrac{gR^{2}}{r}} = \sqrt{\dfrac{gR}{2}} = \sqrt{3.2 \times 10^{7}} = 5.66 \times 10^{3}$ m/s $= 5.66$ km/s।

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