Gravitation is an important topic in physics that is included in JEE Advanced under the concept of Mechanics, and it is important for students to have a strong grasp of the concepts of gravitation because gravitation is not only conceptually strong but also has a lot of applications in solving problems as well. This topic is specifically based on Newton's Law of Universal Gravitation, gravitational fields, gravitational potential energy and satellite motion. Some other important sub-topics are the applications of Kepler’s Law of Planetary Motion and escape velocity calculations.
Gravitation typically has about 3% weightage on JEE Advanced, which covers around 1-2 questions on gravitation in the exam. This can include either direct applications of Newton’s Law of Gravitation or more complex problems, which might involve orbital mechanics and gravitational potential energy. Especially compared to other topics, it is essential to not only master this topic but it is equally necessary to practice the JEE Advanced Previous year questions from this topic too. Problems can be structured simply requiring calculations to more complex problems, each requiring understanding and resolving scientific principles associated with gravitation.
Must Check:
JEE Advanced Previous Year Question Paper
Mechanics- JEE Advanced
The Mechanics section in JEE Advanced involves many topics including motion, forces and energy principles. Some of the most important topics include Kinematics (which deals with the motion of objects in one, two and three dimensions), Laws of Motion (which deals with Newton's laws, friction, and dynamics of systems), Work, Energy and Power (which studies how work is done by forces, energy transformations, and how power is defined), Rotational Motion (which describes torque, moment of inertia, angular momentum, dynamics of rigid bodies, etc.), and Gravitation (which is the study of gravitational fields, gravitational potential energy and motion of satellites, etc. There are also other important topics such as Simple Harmonic Motion which deals with oscillatory motion, and Fluid Mechanics which involves fluid statics, fluid dynamics, Bernoulli's theorem, etc.). These topics are the foundation of classical mechanics and will all contribute a lot of marks toward the overall score in JEE Advanced.
Here are some of the JEE Advanced Previous Questions of the Gravitation topic with detailed solutions.
Question 1:
Two satellites P and Q are moving in different circular orbits around the Earth (radius R). The heights of P and Q from the Earth surface are hP and hQ, respectively, where hP = R/3. The accelerations of P and Q due to Earth’s gravity are gP and gQ, respectively. If gP/gQ = 36/25, what is the value of hQ?
A. 3R/5
B. R/6
C. 6R/5
D. 5R/6
View SolutionQuestion 2:
Two spherical stars \( A \) and \( B \) have densities \( \rho_A \) and \( \rho_B \), respectively. \( A \) and \( B \) have the same radius, and their masses \( M_A \) and \( M_B \) are related by \( M_B = 2M_A \). Due to an interaction process, star \( A \) loses some of its mass, so that its radius is halved, while its spherical shape is retained, and its density remains \( \rho_A \). The entire mass lost by \( A \) is deposited as a thick spherical shell on \( B \) with the density of the shell being \( \rho_A \). If \( v_A \) and \( v_B \) are the escape velocities from \( A \) and \( B \) after the interaction process, the ratio \( \frac{v_B}{v_A} = \sqrt{\frac{10n}{15}} \). The value of \( n \) is ___ .
Question 3:
The Ratio of gravity field due to the earth at high \( h_P \) and \( h_Q \) from the earth's surface is \( \frac{g_P}{g_Q} = \frac{36}{25} \). If \( h_P = \frac{R}{2} \), then the value of \( h_Q \) will be.
A. \( \frac{3R}{4} \)
B. \( \frac{3R}{5} \)
C. \( \frac{4R}{5} \)
D. \( \frac{5R}{6} \)
View SolutionQuestion 4:
Two spherical stars \(A\) and \(B\) have densities \( \rho_A \) and \( \rho_B \), respectively. \( A \) and \( B \) have the same radius, and their masses \( M_A \) and \( M_B \) are related by \( M_B = 2 M_A \). Due to an interaction process, star \( A \) loses some of its mass, so that its radius is halved, while its spherical shape is retained, and its density remains \( \rho_A \). The entire mass lost by \( A \) is deposited as a thick spherical shell on \( B \) with the density of the shell being \( \rho_A \). If \( v_A \) and \( v_B \) are the escape velocities from \( A \) and \( B \) after the interaction process, the ratio \( \frac{v_B}{v_A} = \sqrt{\frac{10n}{15^{1/3}}} \). The value of \( n \) is ____.
Question 5:
The distance between two stars of masses \( 3M_s \) and \( 6M_s \) is \( 9R \). Here \( R \) is the mean distance between the centres of the Earth and the Sun, and \( M_s \) is the mass of the Sun. The two stars orbit around their common centre of mass in circular orbits with period \( nT \), where \( T \) is the period of Earth’s revolution around the Sun. The value of \( n \) is ___.
Question 6:
Consider a spherical gaseous cloud of mass density \( \rho(r) \) in free space where \( r \) is the radial distance from its center. The gaseous cloud is made of particles of equal mass \( m \) moving in circular orbits about the common center with the same kinetic energy \( K \). The force acting on the particles is their mutual gravitational force. If \( \rho(r) \) is constant in time, the particle number density \( n(r) = \frac{\rho(r)}{m} \) is: [\( G \) is universal gravitational constant]
A. \( \frac{K}{\pi r^2 m^2 G} \)
B. \( \frac{K}{6 \pi r^4 m^2 G} \)
C. \( \frac{3K}{\pi r^4 m^2 G} \)
D. \( \frac{K}{2 \pi r^4 m^2 G} \)
View SolutionQuestion 7:
One twirls a circular ring (of mass \( M \) and radius \( R \)) near the tip of one's finger as shown in Figure 1. In the process the finger never loses contact with the inner rim of the ring. The finger traces out the surface of a cone, shown by the dotted line. The radius of the path traced out by the point where the ring and the finger is in contact is \( r \). The finger rotates with an angular velocity \( \omega_0 \). The rotating ring rolls without slipping on the outside of a smaller circle described by the point where the ring and the finger is in contact (Figure 2). The coefficient of friction between the ring and the finger is \( \mu \) and the acceleration due to gravity is \( g \). The total kinetic energy of the ring is:
A. \( M \omega_0^2 R^2 \)
B. \( \frac{1}{2} M \omega_0^2 (R - r)^2 \)
C. \( M \omega_0^2 (R - r)^2 \)
D. \( \frac{3}{2} M \omega_0^2 (R - r)^2 \)
View SolutionQuestion 8:
A planet of radius \( R = \frac{1}{10} \times \) (radius of earth) has the same mass density as earth. Scientists dig a well of depth \( \frac{R}{5} \) on it and lower a wire of the same length and of linear mass density \( 10^{-3} \, \text{kgm}^{-1} \) into it. If the wire is not touching anywhere, the force applied at the top of the wire by a person holding it in place is (take the radius of earth \( = 6 \times 10^6 \, \text{m} \) and the acceleration due to gravity of earth is \( 10 \, \text{ms}^{-2} \)):
A. 96 N
B. 108 N
C. 120 N
D. 150 N
View SolutionQuestion 9:
A satellite is moving with a constant speed \(v\) in a circular orbit about the earth. An object of mass \(m\) is ejected from the satellite such that it just escapes from the gravitational pull of the earth. At the time of its ejection, the kinetic energy of the object is :
A. \( \frac{3}{2} mv^2 \)
B. \( mv^2 \)
C. \( 2mv^2 \)
D. \( \frac{1}{2} mv^2 \)
View SolutionQuestion 10:
A thin uniform annular disc (see figure) of mass \(M\) has outer radius \(4R\) and inner radius \(3R\). The work required to take a unit mass from point \(P\) on its axis to infinity is:
A. \( \frac{2GM}{R} \left( 4\sqrt{2} - 5 \right) \)
B. \( -\frac{2GM}{R} \left( 4\sqrt{2} - 5 \right) \)
C. \( \frac{GM}{4R} \)
D. \( \frac{2GM}{5R} \left( \sqrt{2} - 1 \right) \)
View SolutionQuestion 11:
A double star system consists of two stars A and B which have time periods \(T_A\) and \(T_B\). Radius \(R_A\) and \(R_B\) and mass \(M_A\) and \(M_B\). Choose the correct option:
A. If \(T_A > T_B\) then \(R_A > R_B\)
B. If \(T_A > T_B\) then \(M_A > M_B\)
C. \( \left( \frac{T_A}{T_B} \right)^2 = \left( \frac{R_A}{R_B} \right)^3 \)
D. \(T_A = T_B\)
View SolutionQuestion 12:
A geostationary satellite orbits around the earth in a circular orbit of radius 36,000 km. Then, the time period of a spy satellite orbiting a few hundred km above the earth's surface (\(R_e = 6400 \, \text{km}\)) will approximately be:
A. \( \frac{1}{2} \, \text{h} \)
B. \( 1 \, \text{h} \)
C. \( 2 \, \text{h} \)
D. \( 4 \, \text{h} \)
View SolutionQuestion 13:
A simple pendulum has a time period \(T_1\) when on the earth's surface and \(T_2\) when taken to a height \(R\) above the earth's surface, (where \(R\) is the radius of the earth). The value of \(T_2/T_1\) is:
A. \( 1 \)
B. \( \sqrt{2} \)
C. \( 4 \)
D. \( 2 \)
View SolutionJEE Advanced Exam Pattern
The JEE Advanced exam is considered as one of the top engineering entrance examinations in India, which takes place annually for enrollment at IITs and other top institutions to undergraduate programs. JEE Advanced consists of two compulsory papers, Paper 1 and Paper 2, each with three hours of duration. It challenges students’ knowledge of Physics, Chemistry and Mathematics. The exam consists of different question types including Multiple Choice Questions (MCQs), Numerical Value-based Questions and Assertion-Reasoning questions to evaluate the foundational knowledge of topics and ability to solve problems. Both papers have a total of 180 marks, with marks deducted for incorrect answers in a few question types.
The exam is known for its challenging nature and is conducted in English and Hindi. It is essential to clear the JEE Main exam before appearing for JEE Advanced.
| Aspect | Paper 1 | Paper 2 |
|---|---|---|
| Subjects | Physics, Chemistry, Mathematics | Physics, Chemistry, Mathematics |
| Types of Questions | MCQs, Numerical Value-based, Assertion-Reasoning, Multiple Correct Answers | MCQs, Numerical Value-based, Assertion-Reasoning, Multiple Correct Answers |
| Marking Scheme | MCQs: +3 for correct, -1 for incorrect; No negative for Numerical Value-based | MCQs: +3 for correct, -1 for incorrect; No negative for Numerical Value-based |
| Total Number of Questions | Approximately 18-20 questions | Approximately 18-20 questions |
| Time Duration | 3 hours | 3 hours |
| Negative Marking | Negative marking for MCQs, no negative for Numerical Value-based | Negative marking for MCQs, no negative for Numerical Value-based |
Both the papers have same format and are conducted on same day.
Also Read:
JEE Advanced Physics Paper
The JEE Advanced Physics Paper is designed to assess a candidate's in-depth knowledge in Physics as well as their ability to solve problems. It consists of two papers which are Paper 1 and Paper 2. Each paper is for 3 hours and is made up of approximately 18-20 questions. Although the questions in both papers are related to a wide range of topics, including Mechanics, Electromagnetism, Optics, Thermodynamics, Modern Physics, Waves and Oscillations, and so forth, the syllabus for both papers is the same.
1. Types of Questions
The Physics section in both Paper 1 and Paper 2 includes a variety of question types:
- Multiple Choice Questions (MCQs):
These questions can have one or more correct answers. It gives +3 marks for correct answers, and -1 mark for incorrect answers.
- Numerical Value-based Questions:
These questions have a numerical answer with no negative marking.
- Assertion and Reasoning:
This type of question has a statement (assertion), followed by a reason. Candidates have to determine if both the assertion and the reason are correct, and if the reason explains the assertion. +2 marks is assigned for the correct answer, with no negative marking.
- Multiple Correct Answer Questions:
These questions may have more than one correct answer, and candidates need to select all correct answers to score full marks with partial marking for partially correct answers.
2. Marking Scheme
- MCQs: +3 marks for correct answers, -1 mark for incorrect answers.
- Numerical Answer Type (NAT): No negative marking.
- Multiple Correct Answer Questions: Full marks for correct answers and partial marking for partially correct answers.
- Assertion and Reasoning: +2 marks for correct answers, no negative marking.
3. Difficulty Level
The Physics Paper in JEE Advanced is considered highly challenging, which requires a deep conceptual understanding, problem-solving skills, and the ability to apply multiple concepts to solve complex problems.
Chapter-Wise Distribution and Weightage Analysis
The Physics subject in JEE Advanced includes a variety of subjects from the Class 11 and Class 12 syllabus. The weightage from each chapter varies within each subject. Below is the subject-wise weightage for Physics subjects and potential weightage in the JEE Advanced exam.
Class 11 Physics (Major Topics)
- Mechanics
- Topics: Kinematics, Laws of Motion, Work, Energy, Power, Rotational Motion, Gravitation, Fluid Mechanics.
- Weightage: Around 30-40% of the total Physics questions.
- Key Focus: Laws of Motion, Work-Energy Theorem, Moment of Inertia, Conservation of Angular Momentum, Gravitation (Universal Law, Satellites, Escape Velocity).
- Thermodynamics and Kinetic Theory
The key topics are Temperature, Heat, Laws of Thermodynamics, Kinetic Theory of Gases. It has around 10-15% of the total Physics questions.
Key Focus: First and Second Law of Thermodynamics, Efficiency of Heat Engines, PV Diagrams, Maxwell’s Distribution of Velocities.
- Waves and Oscillations
The topics are Simple Harmonic Motion, Wave Motion, Sound Waves. It covers around 5-10% of the total Physics questions.
Key Focus: Frequency, Amplitude, Energy of Oscillation, Speed of Waves, Doppler Effect, and Standing Waves.
- Fluid Mechanics
The key topics are Pressure, Buoyancy, Bernoulli’s Principle, Viscosity, Surface Tension. It covers around 5-10% of the total Physics questions.
Key Focus: Archimedes' Principle, Bernoulli’s Theorem, Capillary Action, Viscous Flow.
Class 12 Physics (Major Topics)
- Electromagnetism
Important topics of this unit are Electrostatics, Current Electricity, Magnetic Effects of Current, Electromagnetic Induction, AC Circuits. It has around 25-35% weightage of the total Physics questions.
Key Focus: Coulomb's Law, Gauss's Law, Capacitors, Ohm’s Law, Magnetic Fields, Faraday's Law, Lenz’s Law, and R-L-C Circuits.
- Optics
The important topics are Reflection, Refraction, Lenses, Optical Instruments, Wave Optics. It covers around 10-15% of the total Physics questions.
Key Focus: Ray Optics (Mirror and Lens Equations), Interference, Diffraction, and Polarization.
- Modern Physics
Subjects covered include the Photoelectric Effect, Atomic Models, Nuclear Physics, Dual Nature of Matter, and Radioactive Decay. It constitutes about 10-15% of total Physics questions and deals primarily with Quantum Theory, Rutherford's and Bohr's Models, Radioactive Decay, and Nuclear Reactions.
- Electromagnetic Waves
Essential topics are Electromagnetic Waves, Radio Waves, X-rays. These will make up about 5% of the total question in Physics.
Key Takeaways: Properties of Electromagnetic Waves, Uses of EM Waves, Communications.
| Topic | Weightage | Expected Number of Questions |
|---|---|---|
| Mechanics | 30-40% | 5-7 Questions |
| - Kinematics, Laws of Motion | ||
| - Work, Energy, and Power | ||
| - Rotational Motion | ||
| - Gravitation | ||
| Thermodynamics and Kinetic Theory | 10-15% | 2-3 Questions |
| Waves and Oscillations | 5-10% | 1-2 Questions |
| Fluid Mechanics | 5-10% | 1-2 Questions |
| Electromagnetism | 25-35% | 4-6 Questions |
| - Electrostatics, Current Electricity | ||
| - Magnetic Effects of Current | ||
| - Electromagnetic Induction | ||
| Optics | 10-15% | 2-3 Questions |
| Modern Physics | 10-15% | 2-3 Questions |
| Electromagnetic Waves | 5% | 1 Question |
Check: JEE Advanced Physics Syllabus
JEE Advanced Previous Year Question Papers with Detailed Solutions
JEE Advanced 2024 Question Paper Pdf with Solutions
| Paper Name | Question Paper Link | Solutions Link |
|---|---|---|
| JEE Advanced 2024 Paper 1 Question Paper (English) | Download PDF | Check Solutions |
| JEE Advanced 2024 Paper 2 Question Paper (English) | Download PDF | Check Solutions |
| JEE Advanced 2024 Paper 1 Question Paper (Hindi) | Download PDF | Check Solutions |
| JEE Advanced 2024 Paper 1 Question Paper (Hindi) | Download PDF | Check Solutions |
JEE Advanced Question Paper has 4 sections- Section 1 (Maximum marks-12), Section 2 (Maximum marks-12), Section 3 (Maximum marks- 24) and Section 4 (Maximum marks-12)
JEE Advanced Architecture Aptitude Test Question Paper 2024 with Solutions
| Paper Name | Question Paper Link | Solutions Link |
|---|---|---|
| Architecture Aptitude Test | Download PDF | Check Solutions |
JEE Advanced 2023 Question Paper PDF Download With Solutions
| Paper | Question Paper PDF | Answer Key PDF |
|---|---|---|
| Question Paper 1 PDF | Download PDF | Check Solutions |
| Question Paper 2 PDF | Download PDF | Check Solutions |
| Question Paper AAT PDF | Download PDF | Check Solutions |
JEE Advanced 2022 Question Paper
| 2022 Question Paper | PDF Download |
|---|---|
| Question Paper 1 PDF | Click here |
| Question Paper 2 PDF | Click here |
JEE Advanced 2021 Question Paper
| Question Paper | PDF Download | ||
|---|---|---|---|
| Question Paper 1 PDF | Physics | Chemistry | Maths |
| Question Paper 2 PDF | Physics | Chemistry | Maths |
JEE Advanced 2020 Question Paper
| Question Paper | PDF Download |
|---|---|
| Question Paper 1 PDF | Click here |
| Question Paper 2 PDF | Click here |
IIIT JEE Advanced Previous Year Question Papers
You can download free IIT JEE Advanced Previous Year Question Paper PDFs from the table provided below:-
| JEE Advanced Paper Name | Question Paper Link |
| JEE Advanced 2024 Question Paper PDF | Click Here |
| JEE Advanced 2023 Question Paper PDF | Click Here |
| JEE Advanced 2022 Question Paper PDF | Click Here |
| JEE Advanced 2021 Question Paper PDF | Click Here |
| JEE Advanced 2020 Question Paper PDF | Click Here |
| JEE Advanced 2019 Question Paper PDF | Click Here |
| JEE Advanced 2018 Question Paper PDF | Click Here |
| JEE Advanced 2017 Question Paper PDF | Click Here |
| JEE Advanced 2016 Question Paper PDF | Click Here |
Frequently Asked Questions
Q1. Is mechanics important for JEE Advanced?
Answer. Definitely, Mechanics is one of the most important subject for JEE Advanced. It usually comprises nearly 30-40% of total questions in Physics, with subjects like Kinematics, Laws of Motion, Work and Energy, Rotational Motion, and Gravitation being covered in this topic. You must know Mechanics very well to get through in the exam.
Q2. Can I leave mechanics for JEE Advanced?
Answer. No, it is not a good idea to leave Mechanics for the JEE Advanced. Mechanics is essential to the exam, accounting for roughly 30-40% of your questions in Physics, and should be studied and mastered. Mechanics is a foundational topic and is also intertwined with many other concepts; thus, neglecting Mechanics can greatly hinder your overall score in the JEE Advanced. Mastering the content in a thorough fashion is critical to performing well in the JEE Advanced.
Q3. Who got 100% in JEE Advanced?
Answer. In the JEE Advanced 2024 exam, Ved Lahoti scored the highest, with a score of 355 out of 360, and therefore, received an All India Rank (AIR) 1. The highest scorer female candidate was Dwija Dharmeshkumar Patel, with a score of 332 marks, and an AIR of 7. Both of these candidates demonstrated an amazing level of intellect and work ethic in JEE Advanced 2024 examination.
Q4. Is 7000 rank good in JEE Advanced?
Answer. Although a JEE Advanced rank of 7000 is not bad, it does not guarantee you admission into the top IITs or any institution that is highly competitive since those institutions typically only accept students who achieve at least the top 1000-2000 ranks. But with a 7000 rank, you may still have a chance of being admitted to some IITs or NITs or GFTIs in India in less competitive branches or in the extended merit list. However, this still depends on the specific IITs, courses, and the opening-closing ranks of that year. If your goal is to join an IIT, you may want to consider branches like Civil Engineering, Metallurgical Engineering, or Biotechnology since those branches may not be as competitive as Computer Science or Electrical Engineering, where there may be a higher level of competition.
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