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A projectile is projected with linear mo...

A projectile is projected with linear momentum p making angle `theta` with the horizontal. The change in momentum of the projectile on returning to the ground will be-

A

2p

B

`2 p cos theta`

C

`2 p sin theta`

D

`2 p tan theta`

Text Solution

Verified by Experts

The correct Answer is:
C

In rectum journey the angle made by the projectile with the horizontal is -6 Hence
`vec (Deltap)=[hati p cos theta+ hatj p sin theta]-[hati p cos (-theta)+hatj p sin theta)]`
`=hatj2p sin theta`
`or `|vecDeltap|=2p sin theta`
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