Q42 / 208 · NTA Abhyas (NEET) 2020 · Physics · Gravitation

An artificial satellite is moving in a circular orbit around the earth with a speed equal to half the magnitude of escape velocity from the earth. The height of satellite above the surface of earth is -(where R=radius of earth)

  • Correct answer
    A
    R
  • B
    2 R
  • C
    3 R
  • D
    4 R

Solution

escape velocity V s = 2Gm R

orbital velocity V 0 = Gm r

given V 0 = 1 2 V e

⇒ GmR+h =122GmR

⇒R+h=2R or h=R

Hence, the correct answer is option: 'A'.

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