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If an object is having same weight at same distance above and below the surface of earth, find its distance from surface of earth.

Option 1 -

R 2

Option 2 -

( 5 − 1 ) R 2

Option 3 -

( 3 − 1 ) R 2

Option 4 -

( 5 − 1 ) R

0 2 Views | Posted 2 days ago
Asked by Shiksha User

  • 1 Answer

  • Correct Option - 2


    Detailed Solution:

      G M m ( R + x ) 2 = G M m   ( R − x ) R 3

    ->R3 = (R + x)2 (R – x)

    ->R3 = (R2– x2) (R + x)

    ->x2 + Rx – R2 = 0


    x = − R ± R + 4 R 2 2

    x = ( 5 R − 1 ) 2 R

               

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