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← JEE Main 2022 · 25 Jun · Shift 2
PhysicsInteger+4 / -1Question 55 of 90

JEE Main 2022 · 25 Jun · Shift 2, Physics question 55

Two satellites S1S_1 and S2S_2 are revolving in circular orbits around a planet with radius R1=3200R_1=3200 km and R2=800R_2=800 km respectively. The ratio of speed of satellite S1S_1 to the speed of satellite S2S_2 in their respective orbits would be 1x\dfrac1x where x=x= ______.

Answer and worked solution

Official answer: 2

Orbital speed v=GMrv=\sqrt{\dfrac{GM}r}, so v1v2=8003200=12\dfrac{v_1}{v_2}=\sqrt{\dfrac{800}{3200}}=\dfrac12: x=2x=2.

Answer: 2