JEE Mains · Physics · STD 11 - 7. gravitation
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : The radius vector from the Sun to a planet sweeps out equal areas in equal intervals of time and thus areal velocity of planet is constant.
Reason (R) : For a central force field the angular momentum is a constant.
In the light of the above statements, choose the most appropriate answer from the options given below :
- A Both \((\mathrm{A})\) and \((\mathrm{R})\) are correct and \((\mathrm{R})\) is the correct explanation of \(\mathrm{( A)}\)
- B Both \((\mathrm{A})\) and \((\mathrm{R})\) are correct but \((\mathrm{R})\) is not the correct explanation of (A)
- C (A) is correct but \((\mathrm{R})\) is not correct
- D (A) is not correct but (R) is correct
Answer & Solution
Correct Answer
(A) Both \((\mathrm{A})\) and \((\mathrm{R})\) are correct and \((\mathrm{R})\) is the correct explanation of \(\mathrm{( A)}\)
Step-by-step Solution
Detailed explanation
\(\frac{\mathrm{dA}}{\mathrm{dt}}=\frac{\mathrm{L}}{2 \mathrm{~m}}\) Due to central force torque is zero \(\&\) angular momentum is constant.
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
- Two objects of equal masses placed at certain distance from each other attracts each other with a force of \(F\). If one-third mass of one object is transferred to the other object, then the new force will beJEE Mains 2022 Easy
- An \(L-\) shaped object, made of thin rods of uniform mass density, is suspended with a string as shown in figure. If \(AB = BC\), and the angle made by \(AB\) with downward vertical is \(\theta\) then
JEE Mains 2019 Hard - An electron is projected with uniform velocity along the axis inside a current carrying long solenoid. Then :JEE Mains 2024 Hard
- The velocity of sound in a gas. in which two wavelengths \(4.08\,m\) and \(4.16\,m\) produce \(40\) beats in \(12\,s\), will be ..............\(ms ^{-1}\)JEE Mains 2022 Easy
- When heat \(Q\) is supplied to a diatomic gas of rigid molecules at constant volume its temperature increases by \(\Delta T.\) The heat required to produce the same change in temperature, at constant pressure isJEE Mains 2019 Medium
- An electric field \(\overrightarrow{\mathrm{E}}=4 \mathrm{x} \hat{\mathrm{i}}-\left(\mathrm{y}^{2}+1\right) \hat{\mathrm{j}}\; \mathrm{N} / \mathrm{C}\) passes through the box shown in figure. The flux of the electric field through surfaces \(A B C D\) and \(BCGF\) are marked as \(\phi_{I}\) and \(\phi_{\mathrm{II}}\) respectively. The difference between \(\left(\phi_{\mathrm{I}}-\phi_{\mathrm{II}}\right)\) is (in \(\left.\mathrm{Nm}^{2} / \mathrm{C}\right)\)
JEE Mains 2020 Medium
More PYQs from JEE Mains
- The waves emitted when a metal target is bombarded with high energy electrons areJEE Mains 2023 Easy
- If the domain of the function \(f(x)=\log _e\left(4 x^2+11 x+6\right)+\sin ^{-1}\) \((4 x+3)+\cos ^{-1}\left(\frac{10 x+6}{3}\right) \text { is }(\alpha, \beta]\) Then \(36|\alpha+\beta|\) is equal to :JEE Mains 2023 Hard
- A disc of mass \(1\,kg\) and radius \(R\) is free of rotate about a horizontal axis passing through its centre and perpendicular to the plane of disc. A body of same mass as that of disc is fixed at the highest point of the disc. Now the system is released, when the body comes to the lowest position, its angular speed will be \(4 \sqrt{\frac{x}{3 R}}\) rad s\(^{-1}\) where \(x=\) \(\left( g =10\,ms ^{-2}\right)\)JEE Mains 2022 Hard
- Consider a line \(\mathrm{L}\) passing through the points \(\mathrm{P}(1,2,1)\) and \(\mathrm{Q}(2,1,-1)\). If the mirror image of the point \(\mathrm{A}(2,2,2)\) in the line \(\mathrm{L}\) is \((\alpha, \beta, \gamma)\), then \(\alpha+\beta+6 \gamma\) is equal to ...........JEE Mains 2024 Hard
- Considering only the principal values of the inverse trigonometric functions, the domain of the function \(f(x)=\cos ^{-1}\left(\frac{x^{2}-4 x+2}{x^{2}+3}\right)\) is.JEE Mains 2022 Medium
- If \(\mathrm{A}(1,-1,2), \mathrm{B}(5,7,-6), \mathrm{C}(3,4,-10)\) and \(\mathrm{D}(-1,-4,-2)\) are the vertices of a quadrilateral \(\mathrm{ABCD}\), then its area is :JEE Mains 2024 Medium