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How will you ‘weigh the sun’, that is es...

How will you ‘weigh the sun’, that is estimate its mass? The mean orbital radius of the earth around the sun is `1.5 xx 10^(8)` km.

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`2.0 xx 10^(30)` kg
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Calculate the ratio of the angular momentum of the earth about its axis due to its spinning motion to that about the sun due to its orbital motion. Radius of the earth =6400 km and radius of the orbit of the earth about the sun =1.5xx10^8km.

The energy from the sun reaches just outside the earth's atmoshphere at a rate of 1400 W m^(-2) . The distance between the sun and the earth is 1.5 xx 10^(11) m . (a) Calculate the rate at which the sum is losing its mass. (b) How long will the sun last assuming a constant decay at this rate? The present mass of the sun is 2 xx 10^(30) kg

An amateur astronomer wishes to estimate roughly the size of the Sun using his crude telescope consisting of an objective lens of focal length 200 cm and an eyepiece of focal length 10 cm. By adjusting the distance of the eyepiece from the objective, he obtains an image of the Sun on a screen 40 cm behind the eyepiece. the diameter of the sun's image is measured to be 6.0 cm. What is his estimate of the Sun's size given that the average Earth-sun distance is 1.5 xx 10^(11) m ?

The planet Mars has two moons, phobos and delmos. (i) phobos has a period 7 hours, 39 minutes and an orbital radius of 9.4 xx 103 km. Calculate the mass of mars. (ii) Assume that earth and mars move in circular orbits around the sun, with the martian orbit being 1.52 times the orbital radius of the earth. What is the length of the martian year in days ?

When the sun is directly overhead, the surface of the earth receives 1.4 xx (10^3) W (m^-2) of sunlight. Assume that the light is monochromatic with average wavelength 500mn and that no light is absorbed in between the sun and the earth's surface. The distance between the sun and the earth is 1.5 xx (10^11) m. (a) Calculate the number of photons falling per second on each square metre of earth's surface directly below the sun. (b) How many photons are there in each cubic metre near the earth's surface at any instant? (c) How many photons does the sun emit per second?

What is the gravitational potential energy of the Earth and sun ? The Earth to sun distance is arouund 150 million Km . The mass of the Earth is 5.9 xx 10^(24) kg and the mass of the sun is 1.9 xx 10^(30) kg.

As you have learnt in the text, a geostationary satellite orbits the earth at a height of nearly 36,000 km from the surface of the earth. What is the potential due to earth’s gravity at the site of this satellite ? (Take the potential energy at infinity to be zero). Mass of the earth = 6.0 xx 10^(24) kg." radius" = 6400 km .

Io, one of the satellites of Jupiter, has an orbital period of 1.769 days and the radius of the orbit is 4.22 × 10^(8) m. Show that the mass of Jupiter is about one-thousandth that of the sun.

A rocket is fired from the earth towards the sun. At what distance from the earth’s centre is the gravitational force on the rocket zero ? Mass of the sun = 2 xx 10^(30) kg. Mass of the earth = 6xx10^(24) kg. Neglect the effect of other planets etc. (orbittal radtus = 1.5 xx 10^(11) m ).

An unknown planet orbits the sun with distance twice the semi major axis distance of the Earth's orbit. It the Earths time period is T_(1) , what is the time period of this period is planet?

NCERT TAMIL-GRAVITATION-EXERCISES
  1. Suppose there existed a planet that went around the Sun twice as fast ...

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  2. Io, one of the satellites of Jupiter, has an orbital period of 1.769 d...

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  3. Let us assume that our galaxy consists of 2.5 × 10^(11) stars each of ...

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  4. The kinetic energy of a satellite is 2 MJ. What is the total energy of...

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  5. The energy required to remove an electron in a hydrogen atom from n=10...

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  6. Does the escape speed of a body from the earth depend on (a) the mass ...

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  7. A comet orbits the sun in a highly elliptical orbit. Does the comet ha...

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  8. Which of the following symptoms is likely to afflict an astronaut in s...

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  9. In the following two exercises, choose the correct answer from among t...

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  10. For the above problem, the direction of the gravitational intensity at...

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  11. A rocket is fired from the earth towards the sun. At what distance fro...

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  12. How will you ‘weigh the sun’, that is estimate its mass? The mean orbi...

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  13. A saturn year is 29.5 times the earth year. How far is the saturn from...

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  14. A body weighs 63 N on the surface of the earth. What is the gravitatio...

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  15. Assuming the earth to be a sphere of uniform mass density, how much wo...

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  16. A rocket is fired vertically with a speed of 5 km s^(-1) from the eart...

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  17. The escape speed of a projectile on the earth’s surface is 11.2 km s^(...

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  18. A satellite orbits the earth at a height of 400 km above the surface. ...

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  19. Two stars each of one solar mass (= 2 × 10^(30) kg) are approaching ea...

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  20. Two heavy spheres each of mass 100 kg and radius 0.10 m are placed 1.0...

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