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QJEEM23Pha777: JEE Main 2023 Physics - Class 11 JEEM23Pha777 Solution: The time period of a satellite of earth is 24 hours. If the…

The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become.

Multiple Choice Options

  • A 12 hours
  • B 3 hours
  • C 6 hours
  • D 4 hours

Step-by-Step Verified Solution

∵T2∝R3\because {T^2} \propto {R^3}

∴\therefore T12T22=R13R23{{T_1^2} \over {T_2^2}} = {{R_1^3} \over {R_2^3}}

242T22=R13(R14)3{{{{24}^2}} \over {T_2^2}} = {{R_1^3} \over {{{\left( {{{{R_1}} \over 4}} \right)}^3}}}

242T22=43{{{{24}^2}} \over {T_2^2}} = {4^3}

T2=2423=3{T_2} = {{24} \over {{2^3}}} = 3 hours

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