Home
Class 11
PHYSICS
A man is holding an umbrella at angle 30...

A man is holding an umbrella at angle `30^(@)` with vertical with lower and towards himself. Which is appropriate angle to protect him from rain for his horizontal velocity `10 m//s`. Then which of the following will be true-

A

rain is falling at angle `30^(@)` with vertical. Towards the man

B

rain may be falling at angle `30^(@)` with vertical, away from the man

C

rain is falling vertically

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B


Let v= velocity of rain
Possible values of `alpha` are `-30^(@) lt alpha lt 90^(@)`
Promotional Banner

Topper's Solved these Questions

  • HEAT TRANSFER

    RESONANCE|Exercise Advancel Level Problems|17 Videos
  • KINETIC THEORY OF GASES AND THERMODYNAMICS

    RESONANCE|Exercise Exercise|64 Videos

Similar Questions

Explore conceptually related problems

A man is standing on a road and observes that rain is failing at angle 45^(@) with the vertical. The man starts running on the road with constant acceleration 0.5m//s^(2) . After a certain time from the start of the motion, it appears to him that rain is still falling at angle 45^(@) with the vertical, with speed 2sqrt(2)m//s . Motion of the man is in the same vertical plane in which the rain is falling. Then which of the following staement(s) are true.

A person is standing on road by holding an umbrella at right angle to the horizontal surface in order to protect himself from rain falling at a speed of 10 m/s, when the velocity of wind is zero. Suddenly wind begins to flow at a speed of 20m/s, 30^(@) south of west. Now by what angle the person has to rotate his umbrella in order to protect himself from rain ?

A man is coming down an incline of angle 30^(@) . When he walks with speed 2sqrt(3)m//s he has to keep his umbrella vertical to protect hismself from rain. The actual speed of rain is 5m//s . At what angle with vertical should he keep his umbrella when he is at rest so that he does not get drenched ?

A man holds an umbrella at 30^@ with the vertical to keep himself dry. He, then, runs at a speed of 10ms^(-1) , and find the rain drops to be hitting vertically. Study the following statement and find the correct options. i. Velocity of rain w.r.t. Earth is 20 ms^(-1) ii. Velocity of rain w.r.t. man is 10 sqrt(3)ms^(-1) . iii. Velocity of rain w.r.t. Earth is 30 ms^(-1) iv. Velocity of rain w.r. t. man is 10sqrt(2) ms^(-1) .

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.

A boy is running on a horizontal road with a velocity of 5 m/s. At what angle should he hold his umbrella in order to protect him self from the rain if the rain is falling vertically with a velocity of 10 m/s?

A man is going in a topless car with a velocity of 10.8kmph."l It is raining vertically downwards.He has to hold the umbrella at angle 53^(0) to the vertical to protect himself from rain.The actual velocity of the rain is (cos53^(0)=(3)/(5))

A man standing on a road has to hold his umbrella at 30^(@) with the vertical to keep the rain away. He throws the umbrella and starts running at 10km/hr. He finds that rain drop are hitting his head vertically. Find the speed of rain drops with respect to (a) road (b) the moving man.

By the term velocity of rain, we mean velocity with which raindrops fall relative to the ground. In absence of wind, raindrops fall vertically and in presence of wind raindrops fall obliqucly. Moreover raindrops acquire a constant terminal velocity due air resistance very quickly as they fall toward the carth. A moving man relative to himself observes an altered velocity of raindrops. Which is known as velocity of rain relative to the man. It is given by the following equation. vec(v)_(rm)=vec(v)_(r)-vec(v)_(m) A standstill man relative to himself observes rain falling with velocity, which is equal to velocity of the raindrops relative to the ground. To protect himself a man should his umbrella against velocity of raindrops relative to himself as shown in the following figure. A man walks in rain at 72 cm/m due east and observes the rain falling vertically. When he stops, rain appears to strike his back at 37^(@) from the vertical. Find velocity of raindrops relative to the ground.

RESONANCE-KINEMATICS-Exercise
  1. If angle of projection are ((pi)/4 + theta) and ((pi)/4 -theta) where ...

    Text Solution

    |

  2. The time of flight of a projectile is 10 s and range is 500m. Maximum ...

    Text Solution

    |

  3. An eaeroplane is to go along straight line from A to B, and back again...

    Text Solution

    |

  4. A man crosses the river perpendicular to river in time t seconds and t...

    Text Solution

    |

  5. A train in standing on a platform, a man inside a compartment of a tra...

    Text Solution

    |

  6. Two men P & Q are standing at corners A & B of square ABCD of side 8m....

    Text Solution

    |

  7. P is a point moving with constant speed 10 m//s such that is velocity ...

    Text Solution

    |

  8. A coin is released inside a lift at a height of 2m from the floor of t...

    Text Solution

    |

  9. A man is holding an umbrella at angle 30^(@) with vertical with lower ...

    Text Solution

    |

  10. A man is sitting inside a moving train and observes the stationary obj...

    Text Solution

    |

  11. Which of the following is true.

    Text Solution

    |

  12. Two particles are moving along a straight line as shown. The velocity ...

    Text Solution

    |

  13. A man who can swin at the rate of 2 (km)/hr)(in still river) crosses a...

    Text Solution

    |

  14. A river is flowing from west to east at a speed of 5 metres per minut...

    Text Solution

    |

  15. Three elephents A, B and C are moving along a straight line with const...

    Text Solution

    |

  16. A jet airplance travelling at the speed of 500 km ^(-1) ejects its pr...

    Text Solution

    |

  17. A man is on ship which is moving in east direction with speed 60km//hr...

    Text Solution

    |

  18. A battalion of soldiers is ordered to swim across a river 500 m wide. ...

    Text Solution

    |

  19. A stone is just released from the window of a train moving along a hor...

    Text Solution

    |

  20. The motion of a projectile as seen from other projectile is

    Text Solution

    |