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Answer:
Time = distance /Speed
d = 2πR
speed - √ GM/r
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• We know T=2π√(R³/GM)
where R is orbit radius and
T is time period ,M is the mass of the earth, G is the gravitational constant
and G= 6.67× 10^(-11) Nm²/kg²
According to the question
M = 4× original mass of earth
= 4×5.92×10²⁴ kg
Orbit radius = height of satellite from Earth's surface + Earth's radius
= (6400+35780)Km
=42180 km = 4.2180 × 10^7 m
Now,
T = 2π√(4.2180+10^7)³/√{6.67× 10^(-11) ×4×5.92×10²⁴ }=43369.8 sec ≈ 12 hours
so, T = 12 hours
•So the time would be 12 hours.
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