Question:

A metal has bcc structure and the edge length of its unit cell is $3.04\, ?$. The volume of the unit cell in $cm^3$ will be

Updated On: Jun 20, 2024
  • $1.6 \times 10^{21} \, cm^3 $
  • $2.81 \times 10^{-23 } \, cm^3 $
  • $6.02 \times 10^{-23} \, cm^3 $
  • $6.6 \times 10^{-24} \, cm^3 $
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The Correct Option is B

Solution and Explanation

Volume of unit cell (V) $ = a^3$
$ \therefore \, \, = (3.04 \times 10^{-8} cm)^3$
$ = 2.81 \times 10^{-23} \, cm^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. 

Solid State

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.