An element has a body centered cubic (bcc) structure with a cell edge of 288 pm. The atomic radiusis:
- $\frac{\sqrt{3}}{4}\times 288 \,pm$
- $\frac{\sqrt{2}}{4}\times 288 \,pm$
- $\frac{4}{\sqrt{3}}\times 288 \,pm$
- $\frac{4}{\sqrt{2}}\times 288 \,pm$
The Correct Option is A
Solution and Explanation
Length of body diagonal $=\sqrt{3}a$
$\sqrt{3}a=4r$
$r=\frac{\sqrt{3}}{4}a$
As $a=288\,pm$
$\therefore r=\frac{\sqrt{3}}{4}\times288Pm$
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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.