JEE Exam  >  JEE Notes  >  35 Years Chapter wise Previous Year Solved Papers for JEE  >  Integer Answer Type Questions: Gravitation | JEE Advanced

Integer Answer Type Questions: Gravitation | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE PDF Download

Q.1. Gravitational acceleration on the surface of a planet is √6/11 g. where g is the gravitational acceleration on the surface of the earth. The average mass density of the planet is 2/3 times that of the earth. If the escape speed on the surface of the earth is taken to be 11 kms–1, the escape speed on the surface of the planet in kms–1 will be                (2010)

Ans. 3

Solution. 

Integer Answer Type Questions: Gravitation | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

Integer Answer Type Questions: Gravitation | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

Integer Answer Type Questions: Gravitation | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

Integer Answer Type Questions: Gravitation | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

Integer Answer Type Questions: Gravitation | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEEQ.2. A bullet is fired vertically upwards with velocity v from the surface of a spherical planet. When it reaches its maximum height, its acceleration due to the planet's gravity is 1/4 th of its value of the surface of the planet. If the escape velocity from the planet is vesc = v√N, then the value of N is (ignore energy loss due to atmosphere)         (JEE Adv. 2015)

Ans. 2

Solution. Let h be the height to which the bullet rises

Integer Answer Type Questions: Gravitation | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

Integer Answer Type Questions: Gravitation | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

Integer Answer Type Questions: Gravitation | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEENow applying conservation of energy for the throw 

Loss of kinetic energy = Gain in gravitaional potential energy

Integer Answer Type Questions: Gravitation | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

Integer Answer Type Questions: Gravitation | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

Comparing (i) & (ii) N = 2

Q.3. A large spherical mass M is fixed at one position and two identical point masses m are kept on a line passing through the centre of M (see figure). The point masses are connected by a rigid massless rod of length ℓ and this assembly is free to move along the line connecting them. All three masses interact only through their mutual gravitational interaction.

When the point mass nearer to M is at a distance r = 3ℓ from M, the tension in the rod is zero for Integer Answer Type Questions: Gravitation | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEEThe valueof k is                            (JEE Adv. 2015)

Integer Answer Type Questions: Gravitation | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

Ans. 7

Solution. For the tension in the rod to be zero, the force on both the masses m and m should be equal in magnitude and direction. Therefore

Integer Answer Type Questions: Gravitation | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

Integer Answer Type Questions: Gravitation | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

The document Integer Answer Type Questions: Gravitation | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE is a part of the JEE Course 35 Years Chapter wise Previous Year Solved Papers for JEE.
All you need of JEE at this link: JEE
347 docs|185 tests

Top Courses for JEE

FAQs on Integer Answer Type Questions: Gravitation - JEE Advanced - 35 Years Chapter wise Previous Year Solved Papers for JEE

1. What is the formula for gravitational force between two objects?
Ans. The formula for gravitational force between two objects is given by Newton's law of universal gravitation: F = G * (m1 * m2) / r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers.
2. How does the gravitational force vary with distance?
Ans. The gravitational force between two objects varies inversely with the square of the distance between their centers. This means that as the distance between the objects increases, the gravitational force decreases. Conversely, as the distance decreases, the gravitational force increases.
3. What is the difference between mass and weight?
Ans. Mass and weight are two different concepts in physics. Mass is a measure of the amount of matter in an object and remains constant regardless of the location. Weight, on the other hand, is the force exerted on an object due to gravity and varies with the gravitational field strength. Weight can be calculated by multiplying the mass of an object by the acceleration due to gravity.
4. How does the gravitational force affect the motion of objects?
Ans. The gravitational force between two objects affects their motion by causing them to accelerate towards each other. This acceleration is proportional to the magnitude of the gravitational force and inversely proportional to the mass of the object. Objects with larger masses experience a smaller acceleration compared to objects with smaller masses.
5. What are some real-life applications of the concept of gravitation?
Ans. The concept of gravitation has numerous real-life applications. Some examples include: - The motion of planets and satellites in space, which is governed by gravitational forces. - The calculation of satellite orbits and trajectories. - The prediction of tides and oceanic behavior. - The design and operation of spacecraft and rockets. - The understanding of planetary motion and the formation of celestial bodies.
347 docs|185 tests
Download as PDF
Explore Courses for JEE exam

Top Courses for JEE

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

Integer Answer Type Questions: Gravitation | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

,

practice quizzes

,

Integer Answer Type Questions: Gravitation | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

,

MCQs

,

shortcuts and tricks

,

Semester Notes

,

mock tests for examination

,

ppt

,

Integer Answer Type Questions: Gravitation | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

,

Sample Paper

,

Objective type Questions

,

Summary

,

past year papers

,

study material

,

Extra Questions

,

Important questions

,

pdf

,

video lectures

,

Viva Questions

,

Previous Year Questions with Solutions

,

Exam

,

Free

;