Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET 2007
Exam
NEET
Year
2007
Subject
Physics
Chapter
Gravitation

NEET 2007 · Physics · Gravitation

Two satellites of earth, S_1 and S_2 are moving in the same orbit....

Two satellites of earth, S1\mathrm{S}_1 and S2\mathrm{S}_2 are moving in the same orbit. The mass of S1S_1 of four times the mass of S2S_2. Which one of the following statements is true?

Options

  1. AThe potential energies of earth and satellite in the two cases are equal.
  2. BS1S_1 and S2S_2 are moving with the same speed
  3. CThe kinetic energies of the two satellites are equal
  4. DThe time period of S1S_1 is four times that of S2S_2.

Correct answer

B. S1S_1 and S2S_2 are moving with the same speed

Step-by-step solution

K.E.=GMm2r⇒\mathrm{K} . \mathrm{E} .=\frac{G M m}{2 r} \Rightarrow Kinetic energies are unequal T=2πr3/2GM⇒ Time period are equal P.E. =−GMmr⇒ Potential energies are unequal V=GMr⇒ orbital speeds are equal. \begin{aligned} & \mathrm{T}=\frac{2 \pi r^{3 / 2}}{\sqrt{G M}} \\ & \Rightarrow \text{ Time period are equal } \\ & \text{P.E. }=-\frac{G M m}{r} \\ & \Rightarrow \text{ Potential energies are unequal } \\ & V=\sqrt{\frac{G M}{r}} \\ & \Rightarrow \text{ orbital speeds are equal. } \end{aligned}
Practice Gravitation on Quantrex Academy →

More from Gravitation

The amount of work done to raise a mass ' m ' from the surface of the Earth to a height… NEET 2026Two planets P_1 and P_2 with equal mass have radii R_1 and R_2 , respectively, where… NEET 2026In a solar system, the time-period of revolution of a planet tracing a circular orbit of… NEET 2026The radius of Martian orbit around the Sun is about 4 times the radius of the orbit of… NEET 2025A body weighs 48 N on the surface of the earth. The gravitational force experienced by… NEET 2025The escape velocity for earth is v . A planet having 9 times mass that of earth and… NEET 2024The mass of a planet is (1)/(10) th that of the earth and its diameter is half that of… NEET 2024An object of mass 100 kg falls from point A to B as shown in figure. The change in its… NEET 2024 Full Gravitation list All NEET PYQs