TS EAMCET · Physics · Gravitation
A satellite revolving around the earth at a certain height experiences acceleration due to gravity equal to \(\frac{16}{49} g_0\), where \(g_0\) is the acceleration due to gravity on the earth's surface. If \(R\) is the radius of earth, then the square of time period of the satellite's revolution is equal to \(K\left[\frac{\pi^2 R^3}{G M}\right]\). The value of \(K\) is
- A \(\frac{27}{36}\)
- B \(\frac{343}{16}\)
- C \(\frac{125}{64}\)
- D \(\frac{675}{81}\)
Answer & Solution
Correct Answer
(B) \(\frac{343}{16}\)
Step-by-step Solution
Detailed explanation
Acceleration due to gravity at height \(h\) from the surface of earth, \( \begin{aligned} g & =g_0\left(\frac{R}{R+h}\right)^2=\frac{16}{49} g_0 \\ \frac{R}{R+h} & =\frac{4}{7} \end{aligned} \) \(h=\frac{3 R}{4}\)....(i) Now, orbital velocity of satellite, \(v_0=\sqrt{G M / r}\)…
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 simple harmonic oscillator of frequency has a phase of radian. By how much should the origin be shifted in time so as to make the phase of the oscillator vanish. (time in seconds).TS EAMCET 2020 Easy
- In Young's double slit experiment, if the distance between \(5^{\text {th }}\) bright and \(7^{\text {th }}\) dark fringes is 3 mm, then the distance between \(5^{\text {th }}\) dark and \(7^{\text {th }}\) bright fringes isTS EAMCET 2025 Medium
- A block of mass M moving on a frictionless horizontal surface collides with a spring of spring constant K, as shown in the figure. If the spring compresses by a length \(\mathrm{L}\), then the maximum momentum of the block after the collision is.
TS EAMCET 2023 Medium - The half lives of two radioactive materials \(A\) and \(B\) are respectively \(T\) and \(2 T\). If the ratio of the initial masses of the materials \(A\) and \(B\) is \(8: 1\), then the time after which the ratio of the masses of the materials \(A\) and \(B\) becomes \(4: 1\) isTS EAMCET 2024 Easy
- For a wire, as shown in the figure, carrying a current of \(10 \mathrm{~A}\), then the magnetic induction field at the point \(O\) is [talse, \(\mu_0=4 \pi \times 10^{-7} \mathrm{H} / \mathrm{m}\) ]
TS EAMCET 2018 Medium - If L and C are inductance and capacitance respectively, then the dimensional formula of \((\mathrm{LC})^{-\frac{1}{2}}\) isTS EAMCET 2025 Medium
More PYQs from TS EAMCET
- of liquid water at undergoes a phase change into steam at at atm (take it to be ). The initial volume of the liquid water was which is changed to of steam. Find the change in the internal energy of the system.
[Use heat of vaporization ]TS EAMCET 2022 Easy - \(L C R\) circuit, the resonance frequency of circuit increases two times of the initial circuit by changing \(C\) and \(C^{\prime}\) and \(R\) from \(100 \Omega\) to \(400 \Omega\), while the inductance was kept the same. The ratio \(C / C^{\prime}\), isTS EAMCET 2019 Medium
- A person walks in such a way that he covers equal distance in each step. The person takes 2 steps forward towards east, then takes a right turn and walks 4 steps towards south, then takes a right turn and walks 6 steps towards west and then takes a'right turn and walks further. The direction of his final position after a total of 20 steps walk with respect to his initial position isTS EAMCET 2023 Easy
- The masses and positions (in rectangular coordinates) of four particles are as follows : \(1 \mathrm{~kg}\) at \((a, a), 2 \mathrm{~kg}\) at \((-a, a), 3 \mathrm{~kg}\) at \((a, a)\) and \(4 \mathrm{~kg}\) at \((a, a)\). The position vector of the centre of mass of the system of four particles isTS EAMCET 2018 Easy
- Consider a frictionless ramp on which a smooth object is made to slide down from an initial height \(h\). The distance \(d\) necessary to stop the object on a flat track (of coefficient of friction \(\mu\) ), kept at the ramp end isTS EAMCET 2017 Medium
- When a sound wave of wavelength \(\lambda\) is propagating in a medium, the maximum velocity of the particle is equal to the wave velocity. The amplitude of wave isTS EAMCET 2008 Easy