TS EAMCET · Physics · Gravitation
A satellite is launched into a circular orbit of radius \(R\) around earth while a second satellite is launched into a orbit of radius \(1.02 R\). The percentage difference in the time periods of the two satellites is :
- A 0.7
- B 1
- C 1.5
- D 3
Answer & Solution
Correct Answer
(D) 3
Step-by-step Solution
Detailed explanation
From Kepler's law, \(T^2 \propto R^3 \Rightarrow \frac{T_1^2}{T_2^2}=\frac{R_1^3}{R_2^3}\) \(\frac{T_1}{T_2}=\left(\frac{R_1}{R_2}\right)^{3 / 2}=\left(\frac{R}{1.02 R}\right)^{3 / 2}\) \(\Rightarrow \quad \frac{T_1}{T_2}=\left(\frac{50}{51}\right)^{3 / 2}\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A particle starts from rest. Its acceleration versus time is as shown in the figure. The maximum speed of the particle will be
TS EAMCET 2022 Medium - Choose the incorrect statement.TS EAMCET 2020 Medium
- If relative permeability of iron is 5500 , then its susceptibility isTS EAMCET 2020 Easy
- An alpha particle and a proton are accelerated from rest in a uniform electric field. The ratio of the times taken by proton and alpha particle to attain equal displacements isTS EAMCET 2025 Medium
- Two solid spheres \(A\) and \(B\) made of the same material have radii \(r_A\) and \(r_B\) respectively. Both the spheres are cooled from the same temperature under the conditions valid for Newton's law of cooling. The ratio of the rate of change of temperature of \(A\) and \(B\) is :TS EAMCET 2006 Medium
- A block is in simple harmonic motion (S.H.M) on the end of the spring with position given by \(x=(5) \cos \left(\omega t+\frac{\pi}{4}\right)\) If the total mechanical energy used is 100 J to achieve maximum displacement, then the potential energy at time t = 0 isTS EAMCET 2022 Medium
More PYQs from TS EAMCET
- The displacement equations of sound waves produced by two sources are given by \(y_1=5 \sin 400 \pi t\) and \(y_2=\) \(8 \sin 408 \pi t\), where ' \(t\) ' is time in seconds. If the waves are produced simultaneously, the number of beats produced per minute isTS EAMCET 2024 Medium
- The displacement of a particle executing SHM is given by \(y=5 \sin \left(4 t+\frac{\pi}{3}\right) .\) If \(T\) is the time period and the mass of the particle is \(2 \mathrm{~g}\), the kinetic energy of the particle when \(t=\frac{T}{4}\) is given byTS EAMCET 2009 Medium
- The total internal energy of 4 moles of a diatomic gas at a temperature of \(27^{\circ} \mathrm{C}\) is (Universal gas constant \(=8.31 \mathrm{~J}\) \(\mathrm{mol}^{-1} \mathrm{~K}^{-1}\) )TS EAMCET 2024 Easy
- The resistivity of a material is found to be . Then the material would beTS EAMCET 2022 Easy
- \(\mathrm{A}_{92} \mathrm{U}^{238}\) nucleus decays to \(\mathrm{a}_{82} \mathrm{~Pb}^{214}\) nucleus. The number of \(\alpha\) and \(\beta^{-}\)particles emitted areTS EAMCET 2024 Easy
- The transmitting antenna placed at the top of a tower has a height of from the ground. The distance between receiving and transmitting antennas is and the radius of earth is . The minimum height (in at which the receiving antenna is to be placed for satisfactory communication in mode, isTS EAMCET 2019 Easy