JEE Mains · Physics · STD 11 - 7. gravitation
Two satellite \(A\) and \(B\) go round a planet in circular orbits having radii \(4 R\) and \(R\) respectively. If the speed of \(\mathrm{A}\) is \(3 v\), the speed of \(\mathrm{B}\) will be _______.
- A \(\frac{4}{3} v\)
- B \(3 v\)
- C \(6 \mathrm{v}\)
- D \(12 v\)
Answer & Solution
Correct Answer
(C) \(6 \mathrm{v}\)
Step-by-step Solution
Detailed explanation
\(v=\sqrt{\frac{G M}{R}}\) \(\frac{v_A}{v_B}=\sqrt{\frac{R_B}{R_A}}=\sqrt{\frac{R}{4 R}}=\frac{1}{2}\) \(v_B=2 v_A=6 v\)
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
- If \(Y, K\) and \(\eta\) are the values of Young's modulus, bulk modulus and modulus of rigidity of any material respectively. Choose the correct relation for these parameters.JEE Mains 2021 Medium
- Two simple harmonic motion, are represented by the equations \({y}_{1}=10 \sin \left(3 \pi {t}+\frac{\pi}{3}\right)\) \(y_{2}=5(\sin 3 \pi t+\sqrt{3} \cos 3 \pi t)\) Ratio of amplitude of \({y}_{1}\) to \({y}_{2}={x}: 1\). The value of \({x}\) is ...... .JEE Mains 2021 Medium
- A uniform metallic wire is elongated by \(0.04\, m\) when subjected to a linear force \(F\). The elongation, if its length and diameter is doubled and subjected to the same force will be ..... \(cm .\)JEE Mains 2021 Hard
- In an experiment on photoelectric effect, a student plots stopping potential \(V_0\) against reciprocal of the wavelength \(\lambda \) of the incident light for two different metals \(A\) and \(B\). These are shown in the figure Looking at the graphs, you can most appropriately say that
JEE Mains 2013 Hard - A plane electromagnetic wave in a non-magnetic dielectric medium is given by \(\vec E\, = \,{\vec E_0}\,(4 \times {10^{ - 7}}\,x - 50t)\) with distance being in meter and time in seconds. The dielectric constant of the medium isJEE Mains 2013 Hard
- A concave mirror of focal length \(10\) cm forms an image which is double the size of object when the object is placed at two different positions. The distance between the two positions of the object is __________ cm.JEE Mains 2026 Medium
More PYQs from JEE Mains
- If a wave gets refracted into a denser medium, then which of the following is true?JEE Mains 2022 Medium
- A Carnot's engine works as a refrigerator between \(250\, K\) and \(300\, K\). It receives \(500\, cal\) heat from the reservoir at the lower temperature. The amount of work done in each cycle to operate the refrigerator is ..... \(J\)JEE Mains 2018 Medium
- The range of \(f(x)=4 \sin ^{-1}\left(\frac{x^2}{x^2+1}\right)\) isJEE Mains 2023 Medium
- Inductance of a coil with \(10^4\) turns is 10 mH and it is connected to a dc source of 10 V with internal resistance of \(10 \Omega\). The energy density in the inductor when the current reaches \(\left(\frac{1}{ e }\right)\) of its maximum value is \(\alpha \pi \times \frac{1}{ e ^2} J / m ^3\). The value of \(\alpha\) is __________ . \(\left(\mu_0=4 \pi \times 10^{-7} Tm / A \right)\).JEE Mains 2026 Easy
- A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of \(10 \,m\) in \(t \;s ,\) the distance travelled by the toy in the next \(t s\) will be .........\(m\)JEE Mains 2022 Medium
- If three distinct number \(a, b, c\) are in \(G.P.\) and the equations \(ax^2 + 2bc + c = 0\) and \(dx^2 + 2ex + f = 0\) have a common root, then which one of the following statements is correct?JEE Mains 2019 Hard