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

Observe the given figure showing the orbit of a planet moving around the Sun and write the three laws related to it: The orbit of a planet moving around the Sun

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प्रश्न

Observe the given figure showing the orbit of a planet moving around the Sun and write the three laws related to it:


The orbit of a planet moving around the Sun

State the laws related to the given diagram:

टीपा लिहा
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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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2021-2022 (March) Set 1

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


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 the period.


Observe the given figure and answer these following questions.

  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. ASB, CSD and ESF relation between areas explain.

The third law of Kepler is also known as the Law of ______.


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 earth moves around the sun in an elliptical orbit as shown in the figure. The ratio, `"OA"/"OB"` = x. The ratio of the speed of the earth at Band at A 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:


Both earth and moon are subject to the gravitational force of the sun. As observed from the sun, the orbit of the moon ______.


In our solar system, the inter-planetary region has chunks of matter (much smaller in size compared to planets) called asteroids. They ______.


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.

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


A satellite is in an elliptic orbit around the earth with aphelion of 6R and perihelion of 2 R where R= 6400 km is the radius of the earth. Find eccentricity of the orbit. Find the velocity of the satellite at apogee and perigee. What should be done if this satellite has to be transferred to a circular orbit of radius 6R ?

[G = 6.67 × 10–11 SI units and M = 6 × 1024 kg]


A planet revolving in an elliptical orbit has:

  1. a constant velocity of revolution.
  2. has the least velocity when it is nearest to the sun.
  3. its areal velocity is directly proportional to its velocity.
  4. areal velocity is inversely proportional to its velocity.
  5. to follow a trajectory such that the areal velocity is constant.

Choose the correct answer from the options given below:


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?


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


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