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A man is walking on aroad with a velocit...

A man is walking on aroad with a velocity 3km/h. suddenly rain starts falling. The velocity of rain is 10 km/h in vertically down direction. The relative of man with respect to rain is

A

`sqrt(13)` km/h

B

`sqrt(109)`km/h

C

`sqrt(7)`km/h

D

13km/h

Text Solution

Verified by Experts

The correct Answer is:
B
When two bodies A and B are in relative motion the relative velocity of body A with respect to B can be obtained by imposing equal and opposite velocity of B on both A and B, so that B is brought torest

Taking velocity of man as `vecv_(A)` and velocity of rain as `vecv_(B)`
The relative velocity of man w.r. to ratin `=sqrt(v_(A)^(2)+v_(B)^(2))=sqrt(9+100)=sqrt(109)` km/h
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