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The escape velocity of a body from the surface of the earth is expressed in terms of density and diameter of the earth, it is found that it isA. directly proportional to the mass of the bodyB. directly proportional to the diameter of the earthC. inversely proportional to the diameter of the earthD. inversely proportional to the density of the earth |
Answer» Correct Answer - B For the escapvelocity of a body from the surface of the earth is `v_(e)=sqrt((2GM)/(R ))=sqrt(2G.(4)/(3)(pi R^(3)rho)/(R ))` `= sqrt((4R^(2).(2piG rho))/(3))=2R sqrt((2pi G rho)/(3))` `therefore v_(e)prop 2R` or the diameter of the earth. |
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