Home
Class 11
PHYSICS
The structure of a water molecule is sho...

The structure of a water molecule is shown in figure. Find the distance of the centre of mass of the molecule from the centre of the oxygen atom.

Text Solution

Verified by Experts



`m_1=16kg`
`x_1=y_1=0`
m_2=1kg`
x_2=-0.96xx10^-10sin52^0m`
`y_2=-0.96xx10^-10cos52^0`
`m_2=1kg, x_3`
`=0.96xx10^-10sin52^0m`
y_3=-0.96xx10^-10cos52^0`
`x_(cm)=(m_1x_1+m_2x_2+m_3x_3_/(m_1+m_2+m_3)`
`=16xx0+1xx(-0.96xx10^-10sin52^0)`
`(+1xx0.96xx10^-10cos52^0)/(1+1+16)=0`
`y_(cm)=(m_1y_1+m_2y_2+m_3y_3)/(m_1+m_2+m_3)`
=16xx0+2xx0.96xx10^-10 cos52^0)/(1+1+16)`
`=(2xx0.96xx10^-10cos52^0)/18`
`=6.4xx10^-12m`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS, LINEAR MOMENTUM, COLLISION

    HC VERMA|Exercise Objective -2|11 Videos
  • CALORIMETRY

    HC VERMA|Exercise Exercises|18 Videos
  • CIRCULAR MOTION

    HC VERMA|Exercise Exercises|30 Videos

Similar Questions

Explore conceptually related problems

The structure of water molecule is ____________

The distance from the centre of a circle to the circumference is that of a diameter.

The distance between the centres of carbon and oxygen atoms in the gas molecule is 1.13 Å . The centre of mass of the molecule relative to oxygen atom is

A body of mass 2.5 kg is subjected to the forces shown in figure. Find the acceleration of the centre of maas.

Two identical uniform rods AB and CD, each of length L are jointed to form a T-shaped frame as shown in figure. Locate the centre of mass of the frame. The centre of mass of a uniform rod is at the middle point of the rod.

As the length of the chord decreases, the distance from the centre increases.

In a water molecule, the hydrogen and oxygen atom stick together by:

The Centre of mass of a solid cone along the line from the centre of the base to the vertex is at

HC VERMA-CENTRE OF MASS, LINEAR MOMENTUM, COLLISION-Exercises
  1. Three particles of masses 1.0 kg 2.0 kg and 3.0 kg are placed at the c...

    Text Solution

    |

  2. The structure of a water molecule is shown in figure. Find the distanc...

    Text Solution

    |

  3. Seven homogeneous bricks, each of length L are arranged as shown in fi...

    Text Solution

    |

  4. From a uniform disc of radius R, a circular disc of radius R/2 is cut ...

    Text Solution

    |

  5. A disc of radis R is cut out from a larger disc of radius 2R in such a...

    Text Solution

    |

  6. A square plate of edge d and a circular disc of diameter d are placed ...

    Text Solution

    |

  7. Calculate the velocity of the centre of mss of the system of particles...

    Text Solution

    |

  8. Two bocks of masses 10 kg and 20 kg are placed on the X-axis. The firs...

    Text Solution

    |

  9. Two blocks of msses 10 kg and 30 kg are placed along a vertical line....

    Text Solution

    |

  10. Consider a gravity free hall in which a tray of mas M, carrying a cubi...

    Text Solution

    |

  11. Find the centre of mass of a uniform plate having semicircular inner a...

    Text Solution

    |

  12. Mr. Verma (50kg) and Mr. Mathur (60kg) are sitting at the two extremes...

    Text Solution

    |

  13. A cart of mas M is at rest on a frictionless horizontal surface and a ...

    Text Solution

    |

  14. The ballon the light rope and the monkey shown in figure are at rest ...

    Text Solution

    |

  15. Find the ratio of the linear momenta of two particles of masses 1.0 kg...

    Text Solution

    |

  16. A uranium 238 nucleus, initially at rest emits n alpha particle with a...

    Text Solution

    |

  17. A man of mass 50 kg starts moving on the earth and acquires speed of 1...

    Text Solution

    |

  18. A neutron initially at rest, decays into a proton, an electron and an ...

    Text Solution

    |

  19. A man of mass m having a bag ofmas m slips from the roof of atall bui...

    Text Solution

    |

  20. A ball of mass 50 g moving at a speed of 2.0 m/s strikes a plane surfa...

    Text Solution

    |