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Two satellites A and B of masses 200kg and 400kg are revolving round the earth at height of 600km and 1600km respectively. If TA and TB are the time periods of A and B respectively then the value of TB – TA :

[Given : radius of earth = 6400km, mass of earth = 6 × 1024kg]

 

Option 1 -

3.33 * 102s

Option 2 -

1.33 * 102s

Option 3 -

4.24 * 102s

Option 4 -

4.24 * 103s

0 2 Views | Posted a month ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    a month ago
    Correct Option - 2


    Detailed Solution:

    T = 2 π r 3 G M e

    T B − T A = 2 π G M e ( r B 3 / 2 − r A 3 / 2 ) = 2 × 3 . 1 4 6 . 6 7 × 1 0 − 1 1 × 6 × 1 0 2 4 [ ( 8 × 1 0 6 ) 3 2 − ( 7 × 1 0 6 ) 3 2 ]

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