Home
Class 12
CHEMISTRY
A : A particle at the corner of CCP unit...

A : A particle at the corner of CCP unit cell has `(1)/(8)th` of its contribution to the unit cell.
R : In any space lattice the corner of the unit cell is always shared by the eight unit cell.

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion then mark (1)

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2)

C

If Assertion is true statement but Reason is false then mark (3)

D

If both Assertion and Reason are false statements, then mark (4)

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given question, we need to analyze the statements A and R regarding the contribution of particles at the corners of a CCP (Cubic Close-Packed) unit cell and the sharing of corner particles in a space lattice. ### Step-by-Step Solution: 1. **Understanding the Contribution of Corner Particles:** - In a CCP unit cell, there are particles located at each corner of the cube. - Each corner particle is shared among 8 adjacent unit cells. This means that only a fraction of each corner particle belongs to any one unit cell. **Contribution Calculation:** - Since there are 8 unit cells sharing one corner particle, the contribution of one corner particle to the unit cell is: \[ \text{Contribution from one corner particle} = \frac{1}{8} \] 2. **Verifying Statement A:** - Statement A claims that a particle at the corner of the CCP unit cell has a contribution of \( \frac{1}{8} \) to the unit cell. - Based on our calculation, this statement is **True**. 3. **Understanding the Sharing of Corner Particles in Any Space Lattice:** - Statement R states that in any space lattice, the corner of the unit cell is always shared by 8 unit cells. - While this is true for cubic lattices (like CCP), it is not true for all types of lattices. For example, in a hexagonal lattice, a corner particle may be shared by only 3 unit cells. 4. **Verifying Statement R:** - Since Statement R generalizes the sharing of corner particles to "any space lattice," it is **False**. The sharing depends on the type of lattice structure. ### Conclusion: - Statement A is **True**. - Statement R is **False**.
Promotional Banner

Topper's Solved these Questions

  • THE SOLID STATE

    AAKASH INSTITUTE|Exercise Assignment (SECTION - C) (PREVIOUS YEARS QUESTION)|41 Videos
  • THE S-BLOCK ELEMENTS

    AAKASH INSTITUTE|Exercise Assignment (Section-J)|10 Videos
  • THERMODYNAMICS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (Section -D) Assertion-Reason Type Questions|15 Videos

Similar Questions

Explore conceptually related problems

An atom at the corner of the unit cell makes __________ contribution to a particular unit cell.

How are unit cell and space lattice related ?

In bcc lattice, the atoms at the corners of the unit cell are in contact with each other.

The vacant space in FCC unit cell is

In a face centered cubic cell , an the face contributes in the unit cell

In a face centred cubic lattice unit cell is shared equally by how many unit cells?

The type of void present at the centre of the ccp unit cell is

If Z is the number of atoms in the unit cell of ccp lattice then number of octahedral voids in the unit cell is

AAKASH INSTITUTE-THE SOLID STATE -Assignment (SECTION - D) (ASSERTION-REASON TYPE QUESTION)
  1. A : In NaCl structure, the interionic distance is a/2 (a = Unit cell e...

    Text Solution

    |

  2. A : The co - ordination number of CaF(2) is 8 : 4. R : Ca^(2+) ion...

    Text Solution

    |

  3. A : The number of spheres are equal to the number of octahedral voids ...

    Text Solution

    |

  4. A : In Schottky defect, density of crystal decreases. R : Equal nu...

    Text Solution

    |

  5. A : If a tetrad axis is passed through the unit cell of NaCl and all i...

    Text Solution

    |

  6. A : A particle at the corner of CCP unit cell has (1)/(8)th of its con...

    Text Solution

    |

  7. A : Glass belongs to the category of covalent network solid. R : U...

    Text Solution

    |

  8. A : NaCl shows Schottky defect at room temperature. R : NaCl shows...

    Text Solution

    |

  9. A : Fe(3)O(4) is ferrimagnetic at room temperature but becomes paramag...

    Text Solution

    |

  10. A : In molecular solids the lattice points are occupied by the atoms o...

    Text Solution

    |

  11. A : Silicon is insulator at 0 K but semiconductor at room temperature....

    Text Solution

    |

  12. A : Amorphous solids are isotropic. R : Amorphous solids are not rig...

    Text Solution

    |

  13. A : In NaCl coordination number of Cl^(-) ion is 6 but in CsCl coordin...

    Text Solution

    |

  14. A : All crystals of same substance possess the same elements of symmet...

    Text Solution

    |

  15. A : AgBr shows both Schottky and Frenkel defect. R : AgBr is a cry...

    Text Solution

    |

  16. A : Number of carbon atoms per unit cell in diamond is 8. R : The ...

    Text Solution

    |

  17. A : The coordination number of ionic compound depends upon radius rati...

    Text Solution

    |

  18. A : Number of rectangular plane in a cubic crystal is 3. R : Recta...

    Text Solution

    |

  19. A : ccp is more efficient than hcp. R : Packing fraction is differe...

    Text Solution

    |

  20. A : Coordination number of both Na^(+) and Cl^(-) NaCl is 6. R : Se...

    Text Solution

    |