Question:
If spheres of radius $'r'$ are arranged in ccp fashion (ABCABC.....), the vertical distance between any two consecutive A layers is
If spheres of radius $'r'$ are arranged in ccp fashion (ABCABC.....), the vertical distance between any two consecutive A layers is
Updated On: Jul 6, 2022
- $4 r \sqrt{\frac{2}{3}}$
- $4 r \sqrt{\frac{3}{2}}$
- 6r
- $e \sqrt{6}$
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The Correct Option is A
Solution and Explanation
Distance between two consecutive A layers (d)
$ = 2 \sqrt{\frac{2}{3}} a$
But $a = 2 r$
$\therefore \, d = 2 \sqrt{\frac{2}{3}} \times 2r = 4 r \sqrt{\frac{2}{3}}$
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Concepts Used:
Solid State
Solids are substances that are featured by a definite shape, volume, and high density. In the solid-state, the composed particles are arranged in several manners. Solid-state, in simple terms, means "no moving parts." Thus solid-state electronic devices are the ones inclusive of solid components that don’t change their position. Solid is a state of matter where the composed particles are arranged close to each other. The composed particles can be either atoms, molecules, or ions.
Types of Solids:
Based on the nature of the order that is present in the arrangement of their constituent particles solids can be divided into two types;
- Amorphous solids behave the same as super cool liquids due to the arrangement of constituent particles in short-range order. They are isotropic and have a broad melting point (range is about greater than 5°C).
- Crystalline solids have a fixed shape and the constituent particles are arranged in a long-range order.