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The imaginary angular velocity of the ea...

The imaginary angular velocity of the earth for which the effective acceleration due to gravity at the equator shall be zero is equal to
[Take g `= 10 m//s^(2)` for the acceleration due to gravity if the earth were at rest and radius of earth equal to 6400 km.]

A

`1.25xx10^(-3)` rad/s

B

`2.50xx10^(-3)` rad/s

C

`3.75xx10^(-3)` rad/s

D

`5.0xx10^(-3)` rad/s

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The correct Answer is:
A
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ALLEN -GRAVITATION-EXERCISE 1
  1. If the speed of rotation of earth about its axis increases, then the w...

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  2. A body weighs W newton at the surface of the earth. Its weight at a he...

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  3. The imaginary angular velocity of the earth for which the effective ac...

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  4. A particle falls on earth : (i) from infinity. (ii) from a height 10...

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  5. Two different masses are droped from same heights. When these just str...

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  6. By which curve will be variation of gravitational potential of a hollo...

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  7. Gravitational potential difference between surface of a planet and a p...

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  8. If M(e) is the mass of earth and M(m) is the mass of moon (M(e)=81 M(m...

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  9. The gravitational potential energy is maximum at :

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  10. A missile is launched with a velocity less than the escape velocity. T...

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  11. A body attains a height equal to the radius of the earth when projecte...

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  12. The gravitational potential energy of a body at a distance r from the ...

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  13. A particle falls towards the earth from inifinity. The velocity with w...

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  14. A projectile of mass m is thrown vertically up with an initial velocit...

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  15. Two small and heavy spheres, each of mass M, are placed a distance r a...

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  16. An artificial satellite moving in a circular orbit around the earth ha...

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  17. A particle of mass m is moving in a horizontal circle of radius R unde...

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  18. Potential energy of a 3kg body at the surface of a planet is -54 J, th...

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  19. Escape velocity of a body 1 kg mass on a planet is 100 ms^(-1). Gravit...

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  20. The ratio of radii of two satellites is p and the ratio of their accel...

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