Home
Class 12
PHYSICS
Rain pouring down at an angle a with the...

Rain pouring down at an angle a with the vertical has a constant speed of 10 m/s. A woman runs against the rain with a speed of 8 m/s and sees that the rain makes an angle þ with the vertical. Find the relation between a and þ.

A

`tan beta = (8 + 10 sin alpha)/(10 cos alpha)`

B

`tan beta = (8 + 10 cos alpha)/(10 sin alpha)`

C

`tan beta = (10 sin alpha)/(8 + 10 cos alpha)`

D

`tan beta = (10 cos alpha)/(8 + 10 sin alpha)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise LAW OF MOTION|128 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise MOTION IN A STRAIGHT LINE|59 Videos
  • APPENDICES ( REVISION EXERCISE )

    AAKASH SERIES|Exercise REVISION EXERCISE (MAGNETISM AND MATTER )|52 Videos
  • ATOMS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|21 Videos

Similar Questions

Explore conceptually related problems

Rain, pouring down at an angle alpha with the vertical has a speed of 10ms^(-1) . A girl runs against the rain with a speed of 8ms//^(-1) and sees that the rain makes an angle beta with the vertical, then relation between alpha and beta is

To a man going with a speed of 5 ms^-1 , rain appears to be falling vertically. If the actual speed of rain is 10 m s^-1 , then what is the angle made by rain with the vertical ?

To a stationary man, rain appears to be falling at his back at an angle 30^@ with the vertical. As he starts moving forward with a speed of 0.5 m s^-1 , he finds that the rain is falling vertically. The speed of rain with respect to the moving man is.

A person walking ,on a horizontal road at 2 km/h finds that the rain is falling vertically . Now the person increasses his speed to 4 km/h and find that rain makes an angle 45^(@) with the vertical . Find the velocity of rain with respect to the road.

To a stationary man, rain appears to be falling at his back at an angle 30^@ with the vertical. As he starts moving forward with a speed of 0.5 m s^-1 , he finds that the rain is falling vertically. The speed of rain with respect to the stationary man is.

Statement -1 : A man standing on the ground has to hold his umbrella at an angle theta with the vertical to protect himself from rain. It is possible that the man now starts running on the ground with certain speed, but he still has to hold his umbrella at angle theta with the vertical to protect himself from rain. Statement -2 : Vertical component of velocity of rain w.r.t man does not change. if he starts running on a horizontal ground.

Rain is falling vertically with a speed of 10 sqrt 3 ms^(-1) . A woman rides a bicycle with a speed of 10 ms^(-1) in east to west direction. What is the derection in which she shold hold her umbrella to protect from rain ?

Rain is falling vertically with a speed of 1 ms^(-1) . A woman rides a bicycle with a speed of 1.732 ms^(-1) in east to west direction. What is the direction in which she should hold her umbrella ?

Rain is falling vertically with a speed of 35ms^-1 . A woman rides a bicycle with a speed of 12ms^-1 in east to west direction. What is the direction in which she should hold her umbrella?

A car with a vertical windshield moves in a rain storm at a speed of 40 km/hr. The rain drops fall vertically with constant speed of 20 m/s. The angle at which rain drops strike the windshield is -

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-MOTION IN A PLANE
  1. A boat going down stream crosses a float at a point A. 't1' minutes la...

    Text Solution

    |

  2. It is raining at a speed of 5 ms^(-1) at an angle 37^@ to vertical, to...

    Text Solution

    |

  3. Rain pouring down at an angle a with the vertical has a constant speed...

    Text Solution

    |

  4. A man runs along a horizontal road on a rainy day. His umbrella vertic...

    Text Solution

    |

  5. The velocity of a boat in still water is 10 m/s. If water flows in the...

    Text Solution

    |

  6. A river is of width 120m which flows at a speed pf 8ms^(-1). If a man ...

    Text Solution

    |

  7. A boat takes 4 hrs to travel certain distance in a river in down strea...

    Text Solution

    |

  8. A person rows a boat across a river making an angle of 60^@ with the d...

    Text Solution

    |

  9. A boatman finds that he can save 6 s in crossing a river by the quicke...

    Text Solution

    |

  10. A projectile is thrown at an angle of 30^(@) with a velocity of 10m/s....

    Text Solution

    |

  11. A body projected obliquely with velocity 19.6ms^(-1) has its kinetic e...

    Text Solution

    |

  12. It is possible to project a particle with a given speed in two possibl...

    Text Solution

    |

  13. The range of a particle when launched at an angle of 15^(@) with the h...

    Text Solution

    |

  14. A ball A is projected from the ground such that its horizontal range i...

    Text Solution

    |

  15. A particle is projected from the ground with velocity u making an angl...

    Text Solution

    |

  16. The maximum range of a projectile is 500m. If the particle is thrown u...

    Text Solution

    |

  17. A hose pipe lying on the ground shoots a stream of water upward at an ...

    Text Solution

    |

  18. From a point on the ground at a distance a from the foot of a pole, a ...

    Text Solution

    |

  19. A body is projected with a velocity u at an angle of 60^(@) to the hor...

    Text Solution

    |

  20. A projectile is given an initial velocity of (hati+2hatj) m//s, where ...

    Text Solution

    |