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State Kepler’s laws. - Science and Technology 1

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प्रश्न

State Kepler’s laws.

State Kepler's three laws of motion.

दीर्घउत्तर
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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 its period of revolution around the Sun is directly proportional to the cube of the mean distance of a planet from the Sun.
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पाठ 9: Universe - Exercise [पृष्ठ १११]

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सामाचीर कलवी Science [English] Class 9 TN Board
पाठ 9 Universe
Exercise | Q IV. 7. | पृष्ठ १११

संबंधित प्रश्‍न

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 Saturn year is 29.5 times the earth year. How far is the Saturn from the sun if the earth is 1.50 ×108 km away from the sun?


State Kepler's laws of planetary motion.


In the Following figure shows the elliptical path of a planet about the sun. The two shaded parts have equal area. If t1 and t2 be the time taken by the planet to go from a to b and from c to d respectively,


Answer the following question.

State Kepler’s law of equal areas.


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.

Write the 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 ______.


To verify Kepler's third law graphically four students plotted graphs. Student A plotted a graph of T (period of revolution of planets) versus r (average distance of planets from the sun) and found the plot is straight line with slope 1.85. Student B plotted a graph of T2 v/s r3 and found the plot is straight line with slope 1.39 and negative Y-intercept. Student C plotted graph of log T v/s log r and found the plot is straight line with slope 1.5. Student D plotted graph of log T v/s log r and found the plot is straight line with slope 0.67 and with negative X-intercept. The correct graph is of student


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:


If the sun and the planets carried huge amounts of opposite charges ______.

  1. all three of Kepler’s laws would still be valid.
  2. only the third law will be valid.
  3. the second law will not change.
  4. the first law will still be valid.

Supposing Newton’s law of gravitation for gravitation forces F1 and F2 between two masses m1 and m2 at positions r1 and r2 read F1 = – F2 = `- r_12/r_12^3 GM_0^2 ((m_1m_2)/M_0^2)^n` where M0 is a constant of dimension of mass r12 = r1 – r2 and n is a number. in such a case.

  1. the acceleration due to gravity on earth will be different for different objects.
  2. none of the three laws of Kepler will be valid.
  3. only the third law will become invalid.
  4. for n negative, an object lighter than water will sink in water.

The centre of mass of an extended body on the surface of the earth and its centre of gravity ______.

  1. are always at the same point for any size of the body.
  2. are always at the same point only for spherical bodies.
  3. can never be at the same point.
  4. is close to each other for objects, say of sizes less than 100 m.
  5. both can change if the object is taken deep inside the earth.

What is the direction of areal velocity of the earth around the sun?


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?


What is one practical use of Kepler’s laws?


How can an ellipse be drawn using pins and thread?


What is at one focus of the elliptical orbit of a planet?


The time taken by a planet to orbit the Sun depends on


When is a planet moving fastest in its orbit?


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