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Gravitation question

2017 · Shift 2 · Q42
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Gravitation question

2017 · Shift 2 · Q42

JEE AdvancedPhysicsGravitationMCQ+3 / −0.75
A rocket is launched normal to the surface of the Earth, away from the sun, along the line joining the Sun and the Earth. The Sun is 3×1053 \times 10{}^53×105 times heavier than the earth and is at a distance 2.5×1042.5 \times {10^4}2.5×104 times larger than the radius of the Earth. The escape velocity from Earth's gravitational field is Vc=11.2km s−1.{V_c} = 11.2km\,{s^{ - 1}}.Vc​=11.2kms−1.. The minimum initial velocity (vs)\left( {{v_s}} \right)(vs​) required for the rocket to be able to leave the sun-earth system is closest to (Ignore the the rotation and revoluation of the earth and the presence of any other planet)
  1. A
    vs=22 km s−1{v_s} = 22\,km\,{s^{ - 1}}vs​=22kms−1
  2. B
    vs=42 km s−1{v_s} = 42\,km\,{s^{ - 1}}vs​=42kms−1
  3. C
    vs=62km s−1{v_s} = 62km\,{s^{ - 1}}vs​=62kms−1
  4. D
    vs=72kms−1{v_s} = 72km{s^{ - 1}}vs​=72kms−1
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