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Q.

If a body is projected with speed less than escape velocity, thena) the body can reach a certain height and may fall down following straight line pathb) the body can reach a certain height and may fall down following a parabolic pathc) the body may orbit the earth in a circular pathd) the body may orbit the earth in an elliptical path.

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a

only a & b are true

b

only b & c are true

c

only a,b & d are true

d

all a,b,c & d are true

answer is D.

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Detailed Solution

If Velocity of projection (V) is less than Ve , the body cannot escape to infinity. If it is projected vertically upward, it will reach a certain height and fall down following a straight line path. If the body is projected horizontally from the top of a tower , it will orbit the earth in a circular path if V = Ve /√ 2  and orbit the earth in an elliptical path if Ve /√ 2  < V < Ve  and if V < Ve  . The body strikes the surface of earth following a parabolic path. So option - (4) is right.
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If a body is projected with speed less than escape velocity, thena) the body can reach a certain height and may fall down following straight line pathb) the body can reach a certain height and may fall down following a parabolic pathc) the body may orbit the earth in a circular pathd) the body may orbit the earth in an elliptical path.