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NEET 2015
Exam
NEET
Year
2015
Subject
Physics
Chapter
Gravitation

NEET 2015 · Physics · Gravitation

A remote-sensing satellite of earth revolves in a circular orbit at...

A remote-sensing satellite of earth revolves in a circular orbit at a height of 0.25×1060.25 \times {10}^{6} m above the surface of earth. If earth's radius is 6.38×106m6.38 \times {10}^{6}m and g=9.8ms−2g = 9.8m{s}^{- 2}, then the orbital speed of the satellite is:
Mass of earth undefined

Options

  1. A8.56kms−18.56km{s}^{- 1}
  2. B9.13kms−19.13km{s}^{- 1}
  3. C6.67kms−16.67km{s}^{- 1}
  4. D7.76kms−17.76km{s}^{- 1}

Correct answer

D. 7.76kms−17.76km{s}^{- 1}

Step-by-step solution

V0=GMr=GMR2.R2r{V}_{0} = \sqrt{\dfrac{GM}{r}} = \sqrt{\dfrac{GM}{{R}^{2}} . \dfrac{{R}^{2}}{r}}

=9.8×6.38×6.386.63×106=60×106= \sqrt{\dfrac{9.8 \times 6.38 \times 6.38}{6.63 \times {10}^{6}}} = \sqrt{60 \times {10}^{6}} m/sec

=7.76= 7.76 km/sec
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