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Question

The ball is thrown vertically up (taken +z axis) from the ground. The correct momentum-height (ph) diagram is:

A
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B
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C
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D
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Solution

The correct option is D
Using equation of motion,
v2=u22gh
or v=u22gh
Momentum, p=mv
p=mu22gh

Therefore, graph between p and h cannot be a straight line.
i.e (b) and (c) are not possible.
During upward journey as h increases, p decreases and in downward journey, as h decreases, p increases in negative direction.
Therefore (d) is the correct option.

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