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QJEEM22Ph2a68: JEE Main 2022 Physics - Class 11 JEEM22Ph2a68 Solution: The time period of a satellite revolving around earth in a…

The time period of a satellite revolving around earth in a given orbit is 7 hours. If the radius of orbit is increased to three times its previous value, then approximate new time period of the satellite will be

Multiple Choice Options

  • A 40 hours
  • B 36 hours
  • C 30 hours
  • D 25 hours

Step-by-Step Verified Solution

T22=(R2R1)3T12T_2^2 = {\left( {{{{R_2}} \over {{R_1}}}} \right)^3}T_1^2

⇒T2=(3)3/2×7≈5.2×7\Rightarrow {T_2} = {(3)^{3/2}} \times 7 \approx 5.2 \times 7

T2≅36{T_2} \cong 36 hrs

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