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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Write the Kepler's laws. - Science and Technology 1

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प्रश्न

Write the Kepler's laws.

थोडक्यात उत्तर
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उत्तर

  1. Kepler’s first law: The orbit of a planet is an ellipse with the sun at one of the foci.
  2. Kepler’s second law: The line joining the planet and the sun sweeps equal areas in equal intervals of time.
  3. Kepler’s third law: The square of the orbital period of revolution of a planet around the Sun is directly proportional to the cube of the mean distance of the planet from the Sun.
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पाठ 1: Gravitation - Answer the Following

संबंधित प्रश्‍न

State Kepler's law of orbit and law of equal areas.


Let us assume that our galaxy consists of 2.5 × 1011 stars each of one solar mass. How long will a star at a distance of 50,000 ly from the galactic centre take to complete one revolution? Take the diameter of the Milky Way to be 105 ly


A comet orbits the Sun in a highly elliptical orbit. Does the comet have a constant (a) linear speed, (b) angular speed, (c) angular momentum, (d) kinetic energy, (e) potential energy, (f) total energy throughout its orbit? Neglect any mass loss of the comet when it comes very close to the Sun.


Let the period of revolution of a planet at a distance R from a star be T. Prove that if it was at a distance of 2R from the star, its period of revolution will be \[\sqrt{8}\] T.


Answer the following question.

State Kepler’s law of equal areas.


Answer the following question.

State Kepler’s law of the period.


Answer the following question in detail.

State Kepler’s three laws of planetary motion.


Observe the given figure and answer these following questions.


The orbit of a planet moving around the Sun

  1. What is the conclusion about the orbit of a planet?
  2. What is the relation between velocity of planet and distance from sun?
  3. Explain the relation between areas ASB, CSD and ESF.

State Kepler’s laws.


If the distance between the sun and the earth is made three times, then attraction between the two will ______


A planet is revolving around the sun in an elliptical orbit as shown in figure. At which point will its K.E. be maximum?


The mass and radius of earth is 'Me' and 'Re' respectively and that of moon is 'Mm' and 'Rm' respectively. The distance between the centre of the earth and that of moon is 'D'. The minimum speed required for a body (mass 'm') to project from a point midway between their centres to escape to infinity is ______.


A planet revolves in an elliptical orbit around the sun. The semi-major and minor axes are a and b, then the time period is given by:


Out of aphelion and perihelion, where is the speed of the earth more and why?


Earth’s orbit is an ellipse with eccentricity 0.0167. Thus, earth’s distance from the sun and speed as it moves around the sun varies from day to day. This means that the length of the solar day is not constant through the year. Assume that earth’s spin axis is normal to its orbital plane and find out the length of the shortest and the longest day. A day should be taken from noon to noon. Does this explain variation of length of the day during the year?


lf the angular momentum of a planet of mass m, moving around the Sun in a circular orbit is L, about the center of the Sun, and its areal velocity is ______.


Two planets A and B of equal mass are having their period of revolutions TA and TB such that TA = 2TB. These planets are revolving in the circular orbits of radii rA and rB respectively. Which out of the following would be the correct relationship of their orbits?


When is a planet moving fastest in its orbit?


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