Home
Class 11
PHYSICS
A boat having a length of 3 m and breadt...

A boat having a length of 3 m and breadth of 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the mas is:

A

60 kg

B

72 kg

C

52 kg

D

65 kg

Text Solution

Verified by Experts

The correct Answer is:
A
Weight of man = extraupthrust
`therefore" "mg = (3xx2xx10^(-2))(10)^(3)(10)`
or m=60 kg
Promotional Banner

Topper's Solved these Questions

  • FLUID MECHANICS

    DC PANDEY|Exercise B) Medical entrance special format question|19 Videos

  • FLUID MECHANICS

    DC PANDEY|Exercise Match the columns|6 Videos

  • FLUID MECHANICS

    DC PANDEY|Exercise Check point 13.4|10 Videos

  • EXPERIMENTS

    DC PANDEY|Exercise Subjective|15 Videos

  • GENERAL PHYSICS

    DC PANDEY|Exercise INTEGER_TYPE|2 Videos

Similar Questions

Explore conceptually related problems

A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of man is (a) 12 kg (b) 60 kg (c) 72 kg (d) 96 kg

Ac cording to Archimede's principle, when a body is immersed wholly or partly in a liquid at rest, it loses some of its weight. The loss in weight of the body in the liquid is equal to weight of liquid displaced by the immersed part of the body. From this principle, the law of floatation, is dedcued which states : A body will float in a liquid, if weight of liquid displaced by the immersed part of the body is atleast equal to or greater then the weight of the body. Read the above passage and answer the following questions : (i) A boat having a lenght of 3 m and breadth 2m is floating on a lake. The boat sinks by 1 cm when a man gets on it. What is the mass of the man ? (ii) What values of life do you learn from the law of floatation ?

A boat having a length 4m and breadth 2.5 m is floating on lake. The boat sinks by 2 cm when a load is loaded on it. What is the weight of the load ? Use g =10 ms^(-2), density of water = 10^3 kg m^(-3)

A boat having a length of 5m and breadth 1m is floating on a lake.If a man gets on to the boat,the boat sinks by 1cm.The weight of the man is (Take g=10ms^(-2))

A boat having length 2 m and width 1 m is floating in a lake. When a man stands on the boat, it is depressed by 3 cm. The mass of the man is

A boat floating in a lake sinks by 2 cm when a man of mass m gets into it. What will be the mass of man if length and breadth of the boat are 1 m and 2 m?

DC PANDEY-FLUID MECHANICS-Taking it together
  1. In the figure shown,

    Text Solution

    |

  2. A balloon has volume of 1000 m^(3). It is filled with hydrogen (rho=0....

    Text Solution

    |

  3. A boat having a length of 3 m and breadth of 2 m is floating on a lake...

    Text Solution

    |

  4. A small block of wood of relative density 0.5 is submerged in water. W...

    Text Solution

    |

  5. A raft of wood (density=600kg//m^(3)) of mass 120 kg floats in water. ...

    Text Solution

    |

  6. An object of w and density rho is submerged in liquid of density sigma...

    Text Solution

    |

  7. A stone of relative density K is released from rest on the surface of ...

    Text Solution

    |

  8. A body floats in a liquid contained in a beaker. The whole system show...

    Text Solution

    |

  9. The relative density of ice is 0.9 and that of sea water is 1.125. Wha...

    Text Solution

    |

  10. A metallic sphere floats in immiscible mixture of water (density 10^(3...

    Text Solution

    |

  11. In the given figure, the velocity v(3) will be

    Text Solution

    |

  12. A water tank standing on the floor has two small holes punched in the ...

    Text Solution

    |

  13. A body of volume V and desnity rho is initially submerged in a non-vis...

    Text Solution

    |

  14. The pressure of the gas in a cylindrical chamber is p(0). The vertical...

    Text Solution

    |

  15. Water rises in a capillary tube to a certain height such that the upwa...

    Text Solution

    |

  16. Water rises upto 10 cm height in a long capillary tube. If this tube i...

    Text Solution

    |

  17. If a capillary tube is dipped into liquid and the levels of the liquid...

    Text Solution

    |

  18. Water rises to a height of 30 mm in a capillary tube. If the radius of...

    Text Solution

    |

  19. A vessel, whose bottom has round holes with diameter of 0.1 mm , is fi...

    Text Solution

    |

  20. A long cylinderical glass vessel has a small hole of radius r at its b...

    Text Solution

    |