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Q.

A swimmer crosses the river along the line making an angle of 45o with the direction of flow. Velocity of the river water is 5 m/s. Swimmer takes 12 seconds to crossthe river of width 60 m. The velocity of the swimmer with respect to water will be

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a

10 m/s

b

5 m/s

c

55m/s

d

52m/s

answer is B.

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Detailed Solution

Time taken by man to cross the river= width of river vy12=60vy⇒vy=5m/sLet the x component of velocity of man w.r.t. river is vx Since velocity of man w.r.t. ground makes an angle of 45o with river flow x component of velocity of man w.r.t. ground= y component of velocity of man w.r.t. groundv→r+v→x=v→yvx=0So velocity of man w.r.t. water = vy= 5 m/s
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