AP EAMCET · PHYSICS · Gravitation
Two planets, A and B orbit around a star such that time period of \(A\) is 8 times the time period of \(B\). The ratio of orbital velocities of the planets A and B is
- A \(4: 1\)
- B \(1: 4\)
- C \(2: 1\)
- D \(1: 2\)
Answer & Solution
Correct Answer
(D) \(1: 2\)
Step-by-step Solution
Detailed explanation
\(\mathrm{T}_{\mathrm{A}}=8 \mathrm{~T}_{\mathrm{B}}\) \(\Rightarrow \mathrm{T}_{\mathrm{A}}^2=64 \mathrm{~T}_{\mathrm{B}}^2 \Rightarrow \mathrm{R}_{\mathrm{A}}^3=64 \mathrm{R}_{\mathrm{B}}^3 \quad\left[\because \mathrm{T}^2 \propto \mathrm{R}^3\right]\)…
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 a dielectric slab of dielectric constant 3 is introduced between the plates of a capacitor having electric field \(1.5 \pi \mathrm{~N} \mathrm{C}^{-1}\), then the electric displacement isAP EAMCET 2025 Easy
- If \(\mathrm{r}_1, \mathrm{r}_2\) are the angle of refraction at first face and second face of a prism, then the angle of the prism isAP EAMCET 2023 Easy
- The ratio of kinetic energy of a diatomic gas molecule at a high temperature to that of NTP isAP EAMCET 2024 Easy
- A body is projected into vertical \(\mathrm{X}\)-Y plane with \(\mathrm{X}\)-axis along horizontal and Y-axis along vertical with an initial velocity \((10 \hat{i}+p \hat{j})\). If the maximum height reached by the body is \(50 \%\) of its range, then the value of \(\mathrm{p}\) isAP EAMCET 2017 Medium
- An infinite number of objects each 1 kg mass are placed on the x -axis on both sides of \(\mathrm{x}=0\) at \(\pm 1 \mathrm{~m}, \pm 2 \mathrm{~m}, \pm 4 \mathrm{~m}, \pm 8 \mathrm{~m} \ldots\) and so on. The magnitude of the resultant gravitational potential (in SI units) at \(x=0\) is
(G - Universal gravitational constant)AP EAMCET 2025 Medium - The temperature difference across two cylindrical rods \(A\) and \(B\) of same material and same mass are \(40^{\circ} \mathrm{C}\) and \(60^{\circ} \mathrm{C}\) respectively. In steady state, if the rates of flow of heat through the rods A and B are in the ratio \(3: 8\), the ratio of the lengths of the rods \(A\) and \(B\) isAP EAMCET 2024 Medium
More PYQs from AP EAMCET
- Find the value of ' \(p\) ' and ' \(q\) ' if the function \(f(t)=t^3-6 t^2+p t+q\) defined on \([1,3]\) satisfies the Rolle's theorem for \(c=\frac{2 \sqrt{3}+1}{\sqrt{3}}\)AP EAMCET 2020 Easy
- A circle has its centre in the first quadrant and passes through . If this circle makes intercepts of length and respectively on and , its equation isAP EAMCET 2022 Medium
- In \(\triangle A B C, \tan \frac{A}{2}+\tan \frac{B}{2}=\)AP EAMCET 2018 Easy
- If the roots of the equation \(x^3-a x^2+b x-c=0\) are in HP, then the mean of the roots isAP EAMCET 2021 Easy
- \[
\int_0^{\pi^2 / 4}(2 \sin \sqrt{x}+\sqrt{x} \cos \sqrt{x}) d x=
\]AP EAMCET 2022 Medium - The incentre of the triangle with vertices \(A(1, \sqrt{3}), B(0,0)\) and \(C(2,0)\) isAP EAMCET 2017 Easy