Home
Class 12
PHYSICS
A surveyor is surveying a cave. He follo...

A surveyor is surveying a cave. He follows a passage that goes 210 m straight west, then `90sqrt(2)m` in a direction `45^(@)`east of north, then 100 m at `37^(@)` east of south. After a fourth unmeasured displacement he finds himself back where he started. determine the fourth displacement (magnitude and direction).

A

`10sqrt(370)m` somewhere in South-East direction

B

`10sqrt(370)m` somewhere in North-west direction

C

`10sqrt(370)m` somewhere in North-East direction

D

`10sqrt(370)m` somewhere in south-west direction

Text Solution

Verified by Experts

The correct Answer is:
B
`vec(S)_(1)=-210 hati`

`vec(S)_(2)=90sqrt(2)(cos45 hati+sin45hatj)=90hati+90hatj`
`vec(S)_(3)=100(-cos 37hatj+sin37hatj)=-80hatj+60 hati`
`vec(S)_(1)+vec(S)_(2)+vec(S)_(3)+vec(S)_(4)=0`
`rArr vec(S)_(4)=-(vec(S)_(1)+vec(S)_(2)+vec(S)_(3))`
`=-(210 hati+90hati+90hatj+60 hati-80hatj)`
`=-60 hati+10 hatj=10sqrt(370)m`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The car makes a displacement of 100m towards east and then 200m towards north. Find the magnitude and direction of the resultant.

A man moves 20 m north, then 10m east and then 10sqrt2 m south-west. His displacement is

A man walks 30 m towards north, then 20 m, towards east and in the last 30sqrt(2) m towards south - west. The displacement from origin is :

47.A man moves 10m in a direction of 37^(@) East of North then 5sqrt(2)m in South-East direction and finally 20m in a direction of 53^(@) South of West.Find the magnitude of resultant displacement of man?

Ram moves with a velocity of 10m/s in west direction. Shyam moves a direction 23^(@) East of North Ram is 100m away from Shyam it, direction 53^(@) East of North of him.What should he speed of shyam so that he collides with Ram.

A person moves 30 m north. Then 30 m east, then 30sqrt(2) m south-west. His displacement from the original position is

Consider east as positive x-axis, north as positive y-axis. A girl walks 10 m east first time than 10 m in a direction 30^(@) west of north for the second time and then third time in unknown direction and magnitude so as to return to her initial position. What is her third displacement in unit vector notation.?

A person moves 30m north and then 20 m towards east and finally 30sqrt(2) m in south-west direction. The displacement of the person from the origin will be

A man moves 4 m along east direction, then 3m along north direction, after that he climbs up a pole a height 12m. Find the distance covered by him and his displacement.

A particle moves 4sqrt(2)m in South-West direction12m in upward direction and then 1m in East direction.Find the net displacement Multiple Option may be Correct