-->

Motion In Straight Line

Question
CBSEENPH11020577

The height at which the weight of a body becomes 1/16th, its weight on the surface of earth (radius R), is

  • 5R

  • 15 R

  • 3R

  • 4R

Solution

C.

3R

As space given space in space question comma
fraction numerator GMm over denominator left parenthesis straight R plus straight h right parenthesis squared end fraction space equals space 1 over 16 GMm over straight R squared
fraction numerator 1 over denominator left parenthesis straight R plus straight h right parenthesis squared end fraction space equals space fraction numerator 1 over denominator 16 straight R squared end fraction
Or space fraction numerator straight R over denominator straight R plus straight h end fraction space equals 1 fourth
Or space fraction numerator straight R plus straight h over denominator straight R end fraction space equals space 4

straight h space equals space 3 straight R