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Solid State Class 12th

The correct relationship between edge length (a) and radius of atom (r) for BCC unit cell is

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Vishal Baghel

Contributor-Level 10

For BCC unit cell

$\sqrt[]{3} a = 4 r$

$a = \frac{4 r}{\sqrt[]{3}}$

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New answer posted

a month ago

Solid State Class 12th

Packing efficiency of fcc lattice is

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alok kumar singh

Contributor-Level 10

For FCC lattice,

Packing efficiency = π/3√2

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a month ago

Solid State Class 12th

The first co-ordination number of Cs⁺ in CsCl lattice is

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alok kumar singh

Contributor-Level 10

CsCl has BCC structure in which Cl^- is present at corners of cube and Cs+ at body centre.

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Solid State Class 12th

From a sprinkler of length $1 m$ , water is throw out with $0.5 m / s$ tangentially at the rate of $0.6 k g / m i n$ . If diameter of sprinkler is $8 c m$ and moment of inertia is $500 g c m^{2}$ , the rate at which angular speed of sprinkler will increases is (assume there in no resistance to motion)

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alok kumar singh

Contributor-Level 10

Angular momentum imparted to sprinkler per

$s e c o n d = v r \frac{d m}{d t} = \frac{0.6}{60} * 0.5 * 1 = 0.005 N . m$

$? l \frac{d ω}{d t} = 0.005$

$? \frac{d ω}{d t} = \frac{0.005}{500 * 10^{- 7}}$

$= 100 \frac{r a d}{s^{2}}$

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Solid State Class 12th

A prism has refracting angle of 30⁰ and it is made of glass of refractive index $\sqrt[]{2}$ . At what angle should a light ray be incident on a face of prism such that it passes normally through the other face?

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alok kumar singh

Contributor-Level 10

For normal emergence

$r = A$

From Snell's Law

$\frac{\sin ? i}{\sin ? r} = \frac{μ}{1}$

$? \sin ? i = \sqrt[]{2} \sin ? 30^{0}$

$? i = 45^{0}$

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a month ago

Solid State Class 12th

The coordination number of an atom in a body- centred cubic structure is___________.

[Assume that the lattice is made up of atoms]

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Vishal Baghel

Contributor-Level 10

Coordination no. of an atom in BCC is 8.

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Solid State Class 12th

The number of octahedral voids per lattice site in a lattice is………. (Rounded off to the nearest integer)

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alok kumar singh

Contributor-Level 10

Effective no. of octahedral voids in a lattice = n

Effective no. of lattice point in a lattice = n

Ratio = n/n = 1

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Solid State Class 12th

The incorrect statement about the imperfections in solids is:

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Raj Pandey

Contributor-Level 9

Density of solid decreases in Schottky defect and vacancy defect.
Density of solid increases in interstitial defect.
Density of solid remain unchanged in Frenkel defect.

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Solid State Class 12th

An element M crystallises in a body centred cubic unit cell with a cell edge of 300 pm. The density of the element is 6.0g cm^-³. The number of atoms in 180g of the element is_________* 10²³ (Nearest integer)

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Raj Pandey

Contributor-Level 9

B.C.C structure

a = 300 pm = 300 * 10^-¹² m

d = 6g/cm³

z = 2

$d = \frac{Z * M}{a^{3}}$

$6 = \frac{2 * A}{{(300 * 1 0^{- 10})}^{3}} = \frac{2 * A}{27 * 1 0^{- 24}}$

$∴ A t o m s o f M$ = 3.69 * 6.022 * 10²³

...more

B.C.C structure

a = 300 pm = 300 * 10^-¹² m

d = 6g/cm³

z = 2

$d = \frac{Z * M}{a^{3}}$

$6 = \frac{2 * A}{{(300 * 1 0^{- 10})}^{3}} = \frac{2 * A}{27 * 1 0^{- 24}}$

$∴ A t o m s o f M$ = 3.69 * 6.022 * 10²³

= 22.22 * 10²³

the nearest integer = 22

less

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New answer posted

a month ago

Solid State Class 12th

A metal crystallises as simple cubic crystal. The distance between the nearest neighbours of each atom is $\frac{258.36}{\sqrt[]{2}} p m .$ The atomic radius of metal atoms (in pm) is

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Vishal Baghel

Contributor-Level 10

$\sqrt[]{2} a = \frac{258.36}{\sqrt[]{2}}$

$α = 258.36 = 2 r$

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