Home
Class 11
PHYSICS
A metal piece of mass 160 g lies in equi...

A metal piece of mass 160 g lies in equilibrium inside a glass of water as shown in figure. The piece touches the bottom of the glass at a small number of points. If the density of the metal is `8000 kg m^-3`, find the normal fore exerted by the bottom of the glass on the metal piece.

Text Solution

Verified by Experts

The correct Answer is:
A, D
given `m=160g`
`=160xx10^-3kg`
`rho=8000kg/m^3` From the diagram
`rarr mg=U+R`
`[where U=Upward thrust]`
`rarr mg=mg-vrho_wg` ltbr. `[becaue U=vrho_wg]`
`=mg-m/pxxrho_wxxg`
`=160xx10^-3(10-(10^3xx10)/8000)`
`160xx10^-3xx10(1-1/8)`
`=1.4N`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

3.5 kg mass of a metal plate has the volume of 1.5m^(3) . Find the density of metal plate.

A cube of iron (density = 8000kg m^(-1) , specific heat capacity = 470g J kg^(-1)K^(-1) ) is heated to a high temperature and is placed on a larger block of ice at 0^(@)C . The cube melts the ice below it, displaces the water and sinks in the final equilibrium position its upper surface is just inside the ice. Calculate the initial temperature of the cube. Neglect any loss of heat outside the ice and the cube .The density of ice = 900 kg m^(-1) and the latent heat of fusion of ice = 3.36 xx 10^(5)J kg^(-1)

Consider the situation as shown in the figure. A solid sphere of mass m is released from rest from the rim of a hemispherical cup so that it rolls along the surface. Find the normal contact force between the solid sphere and the cup at the bottom most point.

Figure shows a large tank of water at a constant temperature theta_(0) and a small vessel containing a mass m of water at an initial temperature theta_1 (lt theta_(0)) . A metal rod of length L , area of cross section A and thermal conductivity K connects the two vessels. Find the time taken for the temperature of the water in the smaller vessel to become theta_(2) (theta_(1)lt theta_(2)lt theta_(0)) . Specific heat capacity of water is s and all other heat capacities are negligible.

A wire ab of length l, mass m and resistance R slides on a smooth, thick pair of metallic rails joined at the bottom as shown in the figure . The plane of the the rails makes an angle theta with the horizontal. A vertical magnetic field B exists in the region. if the wire slides on the rails at a constant speed v, show that B = sqrt (mg R sin theta)/ sqrt (vl^2 cos^2theta) .

A metal block of density 6000 kg m^(-3) and mass 1.2 kg is suspended through a spring of spring constant 200Nm^(-1) .The spring - block system is dipped in water kept in a vessel .The water has a mass of 250g and the block is at a height 40cm above the bottom of the vessel .If the support to the spring is broken , what will be the rise in the temperature of the water specific heat capacity of the block is 250J kg^(-1)K^(-1) and that of water is 4200J kg^(-1)K^(-1) .Heat capacities of the vessel and the spring are negligible .

A cylindrical vessel of diameter 12 cm contains 800n cm 3 of water. A cylindrical glass piece of diameter 8.0 cm and height 8.0 cm is placed in the vessel. If the bottom of the vessel under the glass piece is seen by the paraxial rays (see figure 18-E6), locate its image. The index of refraction of glass is 1.50 and that of water is 1.33.

A copper piece of mass 10 g is suspended by a vertical spring. The spring elongates 1 cm over its natural length to keep the piece in equilibrium. A beaker containing water is now placed below the piece so as to immerse the piece completely in water. Find the elongation of the spring. Density of copper =9000 kgm^-3. Take g=10ms^-2

A small piece of wood is floating on the surface of a 2.5 m deep lake. Where does the shadow form on the bottom when the sun is just setting? Refractive index of water = 4/3

Figure shows a spring fixed at the bottom end of an incline of inclination 37^0 . A small block of mass 2 kg starts slipping down the incline from a point 4.8 m away from the spring. The block compresses the spring by 20 cm, stops momentarily and then rebounds through a distance of 1 m up the incline. Find a. the frictioin coefficient between the plane and the block and b. the spring constant of the spring. Take g=10 m/s^2 .

HC VERMA-FLUID MECHANICS-All Questions
  1. An ornament weighting 36g in air, weighs only 34g in water. Assuming t...

    Text Solution

    |

  2. Refer to the previous problem. Suppose, the goldsmith argues that he h...

    Text Solution

    |

  3. A metal piece of mass 160 g lies in equilibrium inside a glass of wate...

    Text Solution

    |

  4. The fraction of the total volume occupied by the atoms is a fcc is

    Text Solution

    |

  5. A cubical box is to be constructed with iron sheets 1 mm in thickness....

    Text Solution

    |

  6. A cube of ice floats partly in water and partly in K.oil figure. Find ...

    Text Solution

    |

  7. A cubical box is to be constructed with iron sheets 1 mm in thickness....

    Text Solution

    |

  8. A cubical block of wood weighing 200 g has a lead piece fastened under...

    Text Solution

    |

  9. Solve the prievious problem if the lead piece is fastened on the top s...

    Text Solution

    |

  10. A cubical metal block of edge 12 cm floats in mercry with one fifth of...

    Text Solution

    |

  11. A hollow spherical body of inner and outer radii 6 cm, and 8 cm respec...

    Text Solution

    |

  12. A solid sphere of radius 5 cm floats in water. If a maximum load of 0....

    Text Solution

    |

  13. Find the ratio of the weights, as measured by a spring balance, of a 1...

    Text Solution

    |

  14. A cylindrical object of outer diameter 20 cm and mass 2 kg floats in w...

    Text Solution

    |

  15. A cylindrical object of outer diameter 10 cm, height 20 cm and density...

    Text Solution

    |

  16. A wooden block of mass 0.5 kg and density 800 kgm^-3 is fastened to th...

    Text Solution

    |

  17. An ice cube of edge a is placed in an empty cylindrical vessel of radi...

    Text Solution

    |

  18. A U-tube containing a liquid is accelerated horizontally with a consta...

    Text Solution

    |

  19. At Deoprayag (Garhwal, UP) river Alaknanda mixes with the river Bhagi...

    Text Solution

    |

  20. Water flows through a horizontal tube of variable cross-section. The a...

    Text Solution

    |