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Question

Assertion :Generally the path of a projectile from the earth is parabolic but it is elliptical for projectiles going to a very great height. Reason: Up to ordinary height the projectile moves under a uniform gravitational force, but at great heights, projectile moves under a variable force.

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Both Assertion and Reason are incorrect
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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
Upto ordinary heights, the gravitational force remains stationary, since the distance from earth's surface is negligible compared to radius of the earth. Thus the path of projectiles is parabolic.

However as the distance increases, the gravitational field decreases inversely as square of distance from earth. Thus the gravitational field is variable. Under such a gravitational field, the path of projectile is elliptical.

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