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At what depth below the surface of the e...

At what depth below the surface of the earth will the acceleration due to gravity be one-fourth of its value on the earth's surface ? Assume that the earth is a homogeneous sphere of uniform density of radius R.

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The correct Answer is:
`3/4 R`
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At what height above the surface of the earth will the acceleration due to gravity be half of its value on the earth's surface ? Radius of the earth =6400 km.

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CHHAYA PUBLICATION-NEWTONIAN GRAVITATION AND PLANETARY MOTION-PROBLEM SET -I
  1. At what height above the surface of the earth will the acceleration du...

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  2. At what height above the surface of the earth will the acceleration du...

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  3. At what depth below the surface of the earth will the acceleration due...

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  4. If the mass of the earth is 6xx10^(27)g and its radius 6400 km, what w...

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  5. If the radius of the earth is 6400 km, g=9.8 m*s^(-2) and G=6.7xx10^(-...

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  6. Show that if the earth stops rotating about its axis, then the acceler...

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  7. Choose the correct alternative : (i) Acceleration due to gravity (in...

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  8. Choose the correct alternative : (ii) Acceleration due to gravity (i...

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  9. Choose the correct alternative : (iii) Acceleration due to gravity i...

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  10. Choose the correct alternative : (iv) The formula -GMm(1//r2-1//r1) ...

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  11. If both the radius and the mean density of a planet are half the radi...

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  12. Calculate the angular velocity of the earth for which effective accele...

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  13. Find the percentage decrease in the weight of a body when taken 32 km...

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  14. The density of a planet is 1/3 rd that of the earth and its radius is ...

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  15. Determine the value of the escape velocity from the surface of the moo...

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  16. The radius of a planet is double than that of the earth but their aver...

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  17. How much energy would be needed for a body of mass 10 kg to escape fro...

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  18. The planet Mercury revolves around the sun once in 88 days. If the mea...

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  19. Two planets are revolving around a star and the ratio of their average...

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  20. An artificial satellite revolves around the earth in a circular path ...

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