Home
Class 11
PHYSICS
A man can swim at the rate of 4 km *h...

A man can swim at the rate of `4 km *h^(-1)` in still water. At what angle should the man set himself relative to the current of `2 km *h^(-1)` to cross the river perpendicular to the banks ?

Text Solution

Verified by Experts

The correct Answer is:
`60^@`
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    CHHAYA PUBLICATION|Exercise PROBLEM SET-II|34 Videos
  • VECTOR

    CHHAYA PUBLICATION|Exercise PROBLEM SET-II (Hot Numerical Problems)|24 Videos
  • VECTOR

    CHHAYA PUBLICATION|Exercise EXERCISE (Short Answer Type Questions-II)|2 Videos
  • THERMOMETRY

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIEVE - WBJEE|1 Videos
  • VISCOSITY AND SURFACE TENSION

    CHHAYA PUBLICATION|Exercise EXERCISE (CBSE SCANNER)|9 Videos

Similar Questions

Explore conceptually related problems

A person can swim at 4 km *h^(-1) in still water . At what angle should he set himself to cross the river in a direction perpendicular to the river current of velocity 2 km *h^(-1) .

sqrt(3) times the velocity of a boat on still water is twice the velocity of current of a river. At what angle , with respect to the current, should the boat be steered so as to cross the river in least distance ?

A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km. h^(-1) . Finding the market closed he instantly turns and walks back home with a speed of 7.5 km. h^(-1) . What is the average speed of the man over the interval of time (i) 0 to 30 min (ii) 0 to 50 min (iii) 0 to 40 min? [Note: you will appreciate speed as total path length divided by time and not as magnitude of average velocity. You would not like to tell the tired man on his return home that his average speed was zero! ]

Two boats, each with velocity 8km*h^(-1) , attempt to cross a river of width 800 m. The velocity of river current is 5 km*h^(-1) . One of the boats crosses the river following the shortest path and the other follows the route in which the time taken is minimum. If they start simultaneously, what would be the time difference between their arrivals at the other bank ?

CHHAYA PUBLICATION-VECTOR-PROBLEM SET-I
  1. A car is moving at 24 km *h^(-1) towards east and another car is movin...

    Text Solution

    |

  2. Rain is falling vertically at 4 km *h^(-1) . What will be the apparen...

    Text Solution

    |

  3. A man can swim at the rate of 4 km *h^(-1) in still water. At what ...

    Text Solution

    |

  4. A river is 150 m wide and has a current of 1 m*s^(-1). A boat is movi...

    Text Solution

    |

  5. A boat is moving at 12 km *h^(-1) towards north and another is moving ...

    Text Solution

    |

  6. A ship is moving at 40 km*h^(-1) towards west. Another is proceeding ...

    Text Solution

    |

  7. From the top of a tower, two particles are dropped at an interval of ...

    Text Solution

    |

  8. In a harbour, wind is blowing at the speed of 72 km*h^(-1) and the fla...

    Text Solution

    |

  9. To a cyclist moving at 5 m*s^(-1) , rain appears to be falling vertica...

    Text Solution

    |

  10. A river 1 km wides is flowing at 3 km *h^(-1) . A swimmer whose velo...

    Text Solution

    |

  11. A boat with a speed of 5 km *h^(-1) in still water crosses a river of ...

    Text Solution

    |

  12. An aeroplane is flying eastward with a speed of 600 km*h^(-1) wind i...

    Text Solution

    |

  13. The speed of launch is 7 m/s and of the current on a river is 3 m/s. ...

    Text Solution

    |

  14. If veca +vecb= vecc and a+b=c ,what is the angle between the vectors v...

    Text Solution

    |

  15. vecA =2 hati+3hatj and vecB=-3hati+2hatj are two vector. Find the ang...

    Text Solution

    |

  16. vecA =2hati+3hatj+4hatk and vecB=hati-hatj+hatk are two vectors. Find...

    Text Solution

    |

  17. Given ,vecA=3hati+2hatj-6hatk and vecB=4hati-3hatj+hatk. What is the a...

    Text Solution

    |

  18. For what values of a and b , will the vectors 2hati-3hatj-hatk and ah...

    Text Solution

    |

  19. For what value of a ,will the vectors ahati-2hatj+hatk and 2ahati+ah...

    Text Solution

    |

  20. Prove that (vecA+2vecB)*(2vecA-3vecB)=2A^2+ABcostheta -6B^2

    Text Solution

    |