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A particle undergoes three successive di...

A particle undergoes three successive displacements given by `s_(1) =sqrt(2)` m morth - east , `s_(1)=2` m due south and `s_(3) =4 m, 30^(@)` north of west , then mngnitude of net displecement is

A

`sqrt(14+4sqrt(3))`

B

`sqrt(14-4sqrt(3))`

C

`sqrt(4)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`"we have "S_(1)=(sqrt(2)cos45^(@))hati+(sqrt(2)sin 45^(@)) hatj=hati+hatj`
`S_(2)=-2hatjand S_(3)=(-4cos30^(@))hati+(4sin 30^(@)) hatj`
`Now ,S=S_(1)+S_(2)+S_(3)=(1-2sqrt(3))hati+hatj`
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