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Suppose we have made a model of the Sola...

Suppose we have made a model of the Solar system scaled down in the ratio `eta` but of materials of the same mean density as the actual materials of the planets and the Sun. How will the orbital periods of revolution of planetary models change in this case?

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Read the following text and answer the following questions on the basis of the same: Spectrum Analysis and Astronomy Each element in the periodic table can appear in gaseous form and produce its own spectrum unique to that element. Hydrogen will not look like Helium, which wil not look like carbon which will not look like iron....and soon. Astrophysists can identify what kinds of materials are present in stars from the analysis of star's spectra. This type of study is called astronomical spectroscopy. The science of spectroscopy is quite sophisticated. From spectrum lines analysis astrophysists can determine not only the element, but the temperature and density of that element in the star. The spectral line also can tell us about any magnetic field of the star. The width of the line can tell us how fast the material is moving. We can learn about winds in stars from this. The shifting of spectral liens shift back and forth indicates that the star may be orbiting another star. The following table shows a rough guide for the relationship between the temperature of a star and the electromagnetic spectrum. If the spectrum of a star is red or blue shifted, then it can be used to infer its velocity along the line of sight. Edwin Hubble observed that more distant galaxies tended to have more red shifted spectra. This establishes the theory of expansion of the universe. The lines in a star's spectrum is found to shift back and forth. What conclusion may be drawn from this observation?

Astronomers observe two separate solar systems each consisting of a planet orbiting a sun. The two orbits are circular and have the same radius R . It is determined that the planets have angular momenta of the same magnitude L about their suns, and that the orbital periods are in the ratio of three to one, i.e. T_(1)=3T_(2) . The ratio m_(1)//m_(2) of the masses of the two planets is

In Rutherford's nuclear model of the atom, the nucleus (radius about 10^(-15)m ) is analogous to the sum about which the electron moves in orbit (radius about 10^(-10)m ) like the earth orbits around the sun. If the dimensions of the solar system had the same proportions as those of the atom, would the earth be closer to or further away form the sun than actually it is ? The radius of earth's orbit is about is 1.5xx10^(11)m . The radius of the sun is taken as 7xx10^8m .

PHYSICS GALAXY - ASHISH ARORA-GRAVITATION-Particle Exercise
  1. A satellite is to revolve around the earth in a circle of radius 8000 ...

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  2. Assume the radius of the earth to be 6.4xx10^(6)m a. Calculate the t...

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  3. A satellite of mass 2xx10^(3)kg has to be shifted from an orbit of rad...

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  4. A double star is a system of two starts moving around the centre of in...

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  5. If a planet was suddenly stopped in its orbit supposed to be circular,...

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  6. A particle takes a time t(1) to move down a straight tunnel from the s...

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  7. A planet of mass M moves around the Sun along an ellipse so that its m...

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  8. Suppose we have made a model of the Solar system scaled down in the ra...

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  9. Two Earth's satellites move in a common plane along circular orbits. T...

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  10. A satellite is put in an orbit just above the earth's atmosphere with ...

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  11. A cosmic body A moves to the sun with velocity v(0)(when far from the ...

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  12. Two satellites S(1) and S(2) revolve round a planet in coplaner circul...

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  13. If a planet revolve around the sun in an elliptical orbit such that it...

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  14. For a low altitude orbit if r ~= r(p), where r(p) is planet radius, sh...

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  15. What should be the orbit radius of a communication satellite that it c...

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  16. The radius of a planet is R1 and a satellite revolves round it in a ci...

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  17. The small dense stars rotate about their common centre of mass as a bi...

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  18. An artificial satellite is moving in a circular orbit around the earth...

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  19. A particle is projected from point A, that is at a distance 4R form th...

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  20. A mass of 6xx10^(24) kg is to be compressed in a sphere in such a way ...

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