Home
Class 11
CHEMISTRY
A bcc lattice is made up of hollow spher...

A bcc lattice is made up of hollow spheres of X. Spheres of solid 'Y' are present in hollow spheres of X. The radius of 'Y' is half of the radius of 'X' . Calculate the ratio of the total volume of spheres of 'X' unoccupied by Y in a unit cell and volume of the unit cell ?

Text Solution

AI Generated Solution

To solve the problem, we will follow these steps: ### Step 1: Define the radius of spheres Let the radius of the hollow spheres of X be denoted as \( r \). According to the problem, the radius of the solid spheres of Y is half that of X, which can be expressed as: \[ r_Y = \frac{r}{2} \] ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • STATES OF MATTER: SOLID MATTER

    PRADEEP|Exercise PROBLEMS FOR PRACTICE|63 Videos

  • STATES OF MATTER: SOLID MATTER

    PRADEEP|Exercise TEST YOUR GRIP (MULTIPLE CHOICE)|17 Videos

  • STATES OF MATTER: SOLID MATTER

    PRADEEP|Exercise CURIOSITY|3 Videos

  • STATES OF MATTER : GASES AND LIQUIDES

    PRADEEP|Exercise VIII. ASSERTION-REASON TYPE QUESTIONS (TYPE-II)|12 Videos

  • STRUCTURE OF ATOM

    PRADEEP|Exercise Competition Focus (JEE (Main and Advanced)/Medical Entrance (IX. Assertion And Reason Type Questions (Type II))|12 Videos

Similar Questions

Explore conceptually related problems

A bcc lattic is made up of hollow spheres of X. spheres of soldid 'Y,' are present in hollow spheres of X. The radius of 'Y' is half of the radius of 'X' . Calculate the ratio of the total volume of spherees of 'X' unoccupied by Y in a unit cell and volume of the unit cell ?

A bcc lattice is made up of hollow spheres of B . Spheres of solids A are present in hollow spheres of B . The radius of A is half of the radius of B . The ratio of total volume of spheres of B unoccupied by A in a unit cell and volume of unit cell is A xx (pisqrt(3))/(64) . Find the value of A .

Knowledge Check

  • If the radius of a sphere is doubled, what is the ratio of the volume of the first sphere to that of the second?

    A
    `2:8`
    B
    `1:2`
    C
    `1:3`
    D
    `1:8`

  • If a solid and a hollow conducting sphere have same radius then

    A
    Hollow sphere will hold more maximum charge
    B
    Solid sphere will hold more maximum charge
    C
    Both the spheres will hold same maximum charge
    D
    Both the sphere can't hold charge

  • In two spheres radius of one is half of the other, then volume of second sphere with respect to first, is

    A
    double
    B
    four times
    C
    eight times
    D
    `(22)/(7)` times

    • Similar Questions

    Explore conceptually related problems

    A body centred cubic lattice is made up of hollow sphere of B. Sphere of solid A are present in hollow sphere of B. Radius of A is half of the radius of B. What is the ratio of total volume of sphere B unoccupied by A in unit cell and volume of unit cell?

    If the radius of a sphere is doubled,what is the ratio of the volume of the first sphere to that of the second sphere?

    If the radius of one sphere is twice the radius of second sphere, then find the ratio of their volumes.

    If the radius of a sphere is equal to the diameter of a hemisphere. Find the ratio of volume of sphere to that of the hemisphere.

    Problems of finding the ratio of volume/SA if ratio of radius of spheres is given

    Home
    Profile