• 1. 
    The radius of the earth is 6400 km and g = 10 m/s². In order that a body of 5 kg weighs zero at the equator, the angular speed of the earth is

  • 1/80 rad /s
  • 1/400 rad /s
  • 1/800 rad /s
  • 1/1600 rad /s
  • 2. 
    A body weighs 500 N on the surface of the earth. How much would it weight half way below the surface of the earth?

  • 1000 N
  • 500 N
  • 250 N
  • 125 N
  • 3. 
    The time - period of a satellite of earth is 5 hours. If the separation between the earth and the satellite is increased to 4 times the previous value, the new time - period will become

  • 10 hours
  • 20 hours
  • 40 hours
  • 80 hours
  • 4. 
    A missile is launched with a velocity less than the escape velocity. The sum of its kinetic and potential energy is

  • Positive
  • Negative
  • Zero
  • may be positive or negative
  • 5. 
    What would be the duration of the year if the distance between the earth and the sun gets doubled?

  • 1032 days
  • 129 days
  • 365 days
  • 730 days
  • 6. 
    If a body of mass m is taken out from a point below the surface of earth equal to half the radius of earth, R, to a height R above the earths surface, then work done on it will be

  • (5/6) mgR
  • (6/7) mgR
  • (7/8) mgR
  • (8/9) mgR
  • 7. 
    A artificial satellite moving in a circular orbit around the earth has a total (kinetic + potential) energy E0. Its potential energy is

  • 2E0
  • E0
  • 1.5 E0
  • -E0
  • 8. 
    A body is projected vertically from the surface of the earth of radius R with velocity equal to half of the escape velocity. The maximum height reached by the body is

  • R
  • R/2
  • R/3
  • R/4
  • 9. 
    The escape velocity for a body projected vertically upwards from the surface of the earth is 11 km/s. If the body is projected at an angle of 450 with the vertical, the escape velocity will be

  • 11/√2 km/s
  • 11√2 km/s
  • 2 km/s
  • 11 km/s
  • 10. 
    There is no atmosphere on the moon because

  • it is closer to the earth
  • it revolves round the earth
  • it gets light from the sun
  • the escape velocity of gas molecules is less than their root mean square velocity here
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