Home
Class 11
PHYSICS
A swimmer wishes to .cross a river 500 m...

A swimmer wishes to .cross a river 500 m wide flowing at a rate 'u'. His speed with respect to still water is 'v'. For this, he makes an angle` theta` with the perpendicular as shown ip. the. figure.

To cross the river in minimum time, the value of `theta` should be:

A

`0^(@)`

B

`90^(@)`

C

`30^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DESCRIPTION OF MOTION

    ANURAG MISHRA|Exercise Level-2|25 Videos
  • FORCE ANALYSIS

    ANURAG MISHRA|Exercise Matching type|13 Videos

Similar Questions

Explore conceptually related problems

A swimmer wishes to cross a 500 - m river flowing at 5 km h^-1 . His speed with respect to water is 3 km h^-1 . The shortest possible time to cross the river is.

A swimmer wishes to cross a 500m wide river flowing at a rate 5km/hr. His speed with respect to water is 3km/hr. (a) If the heads in a direction making an angle theta with the flow, he takes to cross the river. (b) Find the shortest possible time to cross the river.

A swimmer wishes to cross a 500 m wide river flowing at 5 km/h. His speed with respect to water is 3 km/h. The man has to reach the other shore at the point directly opposite to his starting point. If the reaches the other shore somewhere else, he has to walk down to this point. Find the minimum distance that he has to walk.

A man can swim in still water at 4m//s river is flowing at 2m//s . the angle with downstream at which he should swim to cross the river minimum drift is

A river 500m wide is flowing at a rate of 4 m//s. A boat is sailing at a velocity of 10 m//s with respect to the water, in a direction perpendicular to the river. The time taken by the boat to reach the opposite bank

A man wishes to cross a river which is flowing at a certain speed . Man uses a motor boat whose velocity with respect to water is more than speed of flow. Minimum possible time the boat takes to cross the river is t_(1) , but drift along the length of river is x . When boat takes shortest route to cross the river , then it takes time t_(2) . Find the velocity of boat with respect to water .

A swimmer starts to swim from point a to cross a river. He wants to reach point B on the opposite side of the river. The line AB makes an angle 60^(@) with the river flow as shown. The velocity of the swimmer in still water is same as that of the water (i) In what direction should he try to direct his velocity ? Calculate angle between his velocity ? Calculate angle between his velocity and river velocity. (ii) Find the ratio of the time taken to cross the river in this situation to the minimum time in which he can cross this river.

ANURAG MISHRA-DESCRIPTION OF MOTION-Level-3
  1. A particle 'A' starts moving frorri point A with constant velocity 4 m...

    Text Solution

    |

  2. A particle 'A' starts moving frorri point A with constant velocity 4 m...

    Text Solution

    |

  3. A swimmer wishes to .cross a river 500 m wide flowing at a rate 'u'. H...

    Text Solution

    |

  4. A swimmer wishes to cross a river 500 m wide flowing at a rate 'u'. Hi...

    Text Solution

    |

  5. A swimmer wishes to cross a river 500 m wide flowing at a rate 'u'. Hi...

    Text Solution

    |

  6. A swimmer wishes to cross a river 500 m wide flowing at a rate 'u'. Hi...

    Text Solution

    |

  7. A swimmer wishes to cross a river 500 m wide flowing at a rate 'u'. Hi...

    Text Solution

    |

  8. A swimmer wishes to cross a river 500 m wide flowing at a rate 'u'. Hi...

    Text Solution

    |

  9. A swimmer wishes to cross a river 500 m wide flowing at a rate 'u'. Hi...

    Text Solution

    |

  10. A particle is fired from A in the diagonal plane of a building of dime...

    Text Solution

    |

  11. A particle is fired from 'A' in the diagonal plane of building of dime...

    Text Solution

    |

  12. A particle is fired from A in the diagonal plane of a building of dime...

    Text Solution

    |

  13. A particle is fired from A in the diagonal plane of a building of dime...

    Text Solution

    |

  14. A particle is fired from A in the diagonal plane of a building of dime...

    Text Solution

    |

  15. A dart gun is fired towards a Squirrel hanging from a tree. Dart gun w...

    Text Solution

    |

  16. Column-1 shows certain situations with certain conditions and column-2...

    Text Solution

    |

  17. Column-1 shows certain situations with certain conditions and column-2...

    Text Solution

    |

  18. Trajectories are shown in figure for three kicked footballs. Initial v...

    Text Solution

    |

  19. Shown a vector vec(a) angle theta as shown in the figure column-2. Sho...

    Text Solution

    |

  20. Consider an object at point P along each trajectory shown in column-1 ...

    Text Solution

    |