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A particle of masses m is thrown upwards from the surface of the earth, with a velocity u. The mass and the radius of the earth are, respectively, M and R. G is gravitational constant and g is acceleration due to gravity on the surface of the earth. The minimum value of u so that the particle does not return back to earth, is
Options
(a) √( 2GM / R)
(b) √( 2GM / R)²
(c) √( 2G R²)
(d) √( 2GM / R)²
Correct Answer:
√( 2GM / R)
Explanation:
The velocity u should be equal to the escape velocity. That is, u = √(2gR)
But g = GM / R² ⇒ u = √(2 . GM / R² . R)
√( 2GM / R)
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Topics: Gravitation
(63)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- Water falls from a height of 60m at the rate of 15 kg/s to operate a turbine
- If two bodies are projected at 30⁰ and 60⁰ respectively with the same velocity, then
- A charged particle with a velocity 2×10³ ms⁻¹ passes undeflected through electric field
- The resistance of a wire is 5 ohm at 50° C and 6 ohm at 100° C. The resistance
- A metal wire of circular cross-section has a resistance R₁. The wire is now stretched
Topics: Gravitation (63)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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