NCERT Solutions for class 11 Physics Chapter 8: Gravitation

NCERT Solutions for Class 11 Physics Chapter 8: Gravitation covers concepts of Kepler’s Planetary Laws of Motion, Newton’s Law of Gravitation, Acceleration Due to Gravity, and its variation. Gravity, also known as Gravitational Force, is the universal force of attraction that helps to keep things together.

Class 11 Physics Chapter 8 Gravitation along with Unit 4 Work, Energy, and Power and Unit 5 Motion of System of Particles and Rigid Body has a weightage of 17 marks in the Class 11 Physics Examination. Gravity is the force that holds us onto the Earth and does not let us fly up into space. Although we barely think about it in our daily lives Gravity is essential to keep the systems operating on the Earth and the Universe.

Download PDF: NCERT Solutions for Class 11 Physics Gravitation


NCERT Solutions for Class 11 Physics Chapter 8

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Class 11 Physics Chapter 8 – Basic Concepts

  • Kepler’s Laws of Planetary Motion: Kepler formulated three laws to describe planetary motion – Law of Orbits, Law of areas, and Law of periods.

1. Law of orbits: All the planets revolve around the sun in an elliptical orbit with the sun being at one of the foci of the ellipse.
2. Law of areas: The speed of a planet varies such that its radius, the vector drawn from the sun to the planet sweeps out equal areas in equal intervals of times.​
3. Law of Periods: The square of the time period of revolution of a planet is proportional to the cube of the semi-major axis of the elliptical orbit. \(T^2 \propto r^3\) 

  • Newton’s law of gravitation states that each particle in the universe attracts another particle with a force that is directly proportional to the product of their masses. It is also inversely proportional to the square of the distance that exists between them. 
\(F_g = {Gm_1m_2 \over r^2}\)
  • The gravitational potential is the amount of work done in bringing a body with unit mass from infinity to a point in the gravitational field of a body.
V = \(-GM \over R\)
  • Escape Velocity is the minimum velocity that is required to project a body vertically upward from the surface of the Earth so that it comes out of its gravitational field.

\(v_{escape} = \sqrt{2GM \over R}\)

  • Orbital velocity is the minimum velocity required to put a satellite into a given orbit around the Earth.
\(v_{orbital} = \sqrt{GM \over R}\)

CBSE CLASS XII Related Questions

1.
A circular disc is rotating about its own axis at uniform angular velocity \(\omega.\) The disc is subjected to uniform angular retardation by which its angular velocity is decreased to \(\frac {\omega}{2}\) during 120 rotations. The number of rotations further made by it before coming to rest is

    • 120
    • 60
    • 40
    • 20

    2.
    A circular disc is rotating about its own axis. An external opposing torque 0.02 Nm is applied on the disc by which it comes rest in 5 seconds. The initial angular momentum of disc is

      • $0.1\,kgm^2s^{-1}$
      • $0.04\,kgm^2s^{-1}$
      • $0.025\,kgm^2s^{-1}$
      • $0.01\,kgm^2s^{-1}$

      3.
      A capillary tube of radius r is dipped inside a large vessel of water. The mass of water raised above water level is M. If the radius of capillary is doubled, the mass of water inside capillary will be

        • 5M
        • 2M
        • \(\frac M4\)

        • M

        4.
        A spherical conductor of radius 12 cm has a charge of 1.6 × 10–7C distributed uniformly on its surface. What is the electric field ?
        1. inside the sphere
        2. just outside the sphere
        3. at a point 18 cm from the centre of the sphere?

            5.
            A closely wound solenoid of \(2000 \) turns and area of cross-section \(1.6 × 10^{-4}\  m^2\), carrying a current of \(4.0 \ A\), is suspended through its centre allowing it to turn in a horizontal plane. 
            (a) What is the magnetic moment associated with the solenoid?
            (b) What is the force and torque on the solenoid if a uniform horizontal magnetic field of \(7.5 × 10^{-2}\  T\) is set up at an angle of \(30º\) with the axis of the solenoid?

                6.

                A parallel plate capacitor made of circular plates each of radius R = 6.0 cm has a capacitance C = 100 pF. The capacitor is connected to a 230 V ac supply with a (angular) frequency of 300 rad s−1.

                1. What is the rms value of the conduction current?
                2. Is the conduction current equal to the displacement current?
                3. Determine the amplitude of B at a point 3.0 cm from the axis between the plates.
                A parallel plate capacitor made of circular plates

                    CBSE CLASS XII Previous Year Papers

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