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Assertion: The length of the day is slow...

Assertion: The length of the day is slowly increasing Reason: The dominant effect causing a slow down in the rotation of the earth is the gravitational pull of other planets in the solar system.

A

A. if both assertion and reason are true and reason is the correct explanation of the assertion

B

B. if both assertion and reason are true but reason is not correct explanation of the assertion

C

C. if assertion is true, but reason is false

D

D. if both assertion and reason are false

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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 = 2xxl0^30 kg , mass of the earth = 6xxl0^24 kg . Neglect the effect of other planets etc. (orbital radius = 1.5 xx 10^11 m ).

Different points in earth are at slightly different distancesfrom the sun and hence experience different forces due to gravitation. For a rigid body, we know that if various forces act at various points in it, the resultant motion is as if a net force acts on the C.M. (centre of mass ) causing rotation around an axis thorugh the C.M. For the earth-sun system (approximating the earth as a uniform density sphere)

MODERN PUBLICATION-Unit Test - Gravitation-Example
  1. Assertion: If the radius of the earth's orbit around the sun were twic...

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  2. Assertion: The earth is slowing down and as a result the moon is comin...

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  3. Assertion: The length of the day is slowly increasing Reason: The dom...

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  4. Assertion: The mass of the earth in terms of g, Rand G is given by M=g...

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  5. The change in the value of g at a height h h lt lt R above the surface...

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  6. Assertion: A tennis ball bounces higher on hills than in plains Reason...

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  7. Assertion: Average density of the earth depends on the value of g Rea...

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  8. Assertion: The earth without its atmosphere would be inhospitably cold...

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  9. Assertion: The time period of an earth satellite in a circular orbit i...

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  10. Assertion: The geostationary satellites are launched, so as to revolve...

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  11. Assertion: The time-period of pendulum on a satellite orbiting the ear...

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  12. A planet of mass m moves around the sun of mass M in elliptical orbit....

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  13. The duration of day is highest in :

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  14. A ball is thrown upwards with a velocity of 100 ms^-1. It will reach t...

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  15. A ball is thrown upwards with a velocity of 19.6 ms^-1. The maximum he...

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  16. What would be the acceleration due to gravity at another planet, whose...

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  17. If a planet existed whose mass and radius were both half of that of th...

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  18. When the radius of earth is reduced by 1 % without changing the mass, ...

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  19. The mass of the planet is 1/9th of the mass of the earth and its radiu...

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  20. A body weighs 700 N on earth. What will be its weight on a planet havi...

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