Self Studies

Gravitation Tes...

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  • Question 1
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    A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm. Find the work to be done against the gravitational force between them. to take the particle far away from the sphere. (take, G = 6.67 × 10-11 Nm2-kg -2)

  • Question 2
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    What is a period of revolution of the earth satellite? Ignore the height of satellite above the surface of the earth. Given, the value of gravitational acceleration g = 10 ms -2, radius of the earth Re = 6400 km. (take, π = 3.14)

  • Question 3
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    A launching vehicle carrying an artificial satellite of mass m is set for launch on the surface of the earth of mass M and radius R. If the satellite is intended to move in a circular orbit of radius 7 R , the minimum energy required to be spent by the launching vehicle on the satellite is [Gravitational constant = G]

  • Question 4
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    A planet of mass m moves around the sun of mass M in an elliptical orbit. The maximum and minimum distances of the planet from the sun are r1 and r2 respectively. The time period of the planet is proportional to

  • Question 5
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    A satellite is revolving around the planet. The gravitational force between them varies with R-5/2, where R is the radius of the satellite. The square of the time period T will be directly proportional to

  • Question 6
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    A geostationary satellite is orbiting the earth at a height of 6R above the surface of the earth, R being the radius of the earth. What will be the time period of another satellite at a height 2.5R from the surface of the earth?

  • Question 7
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    The orbit of geostationary satellite is circular, the time period of satellite depends on
    I. mass of the satellite
    II. mass of the earth
    III. radius of the orbit
    IV. height of the satellite from the surface of earth
    Which of the following is correct?

  • Question 8
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    The time period of a geostationary satellite at a height 36000 km is 24 h. A sky satellite orbits earth at a height 6400 km. What will be the time period of sky satellite? (take, radius of the earth = 6400 km)

  • Question 9
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    An artificial satellite is moving in a circular orbit around the earth with a speed equal to half the magnitude of escape velocity from the earth. The height of the satellite above the earth's surface will be

  • Question 10
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    The satellite of mass m revolving in a circular orbit of radius r around the earth has kinetic energy E. Then, its angular momentum will be

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