The packing efficiency of a two-dimensional square unit cell shown below is
A
`32.97%`
B
`68.02%`
C
`74.05%`
D
`78.54%`
Text Solution
Verified by Experts
The correct Answer is:
D
Number of particles in one unit cell `=1+4xx(1)/(4)=2` If radius of particle is `r` then total are a covered by particles `=2pir^(2)` Total area of unit cell `=L^(2)(or a^(2))` Bur`,a=2sqrt(2)r` and Packing efficiency `=("Area covered by particle")/("Total area")=(2pir^(2))/((2sqrt(2))^(2))=(pi)/(4)` `implies (22)/(7xx4)xx100=78.54%`
Topper's Solved these Questions
SOLID STATE
P BAHADUR|Exercise Exercise 9|1 Videos
MOCK TEST PAPER
P BAHADUR|Exercise Exercise|92 Videos
SURFACE CHEMISTRY
P BAHADUR|Exercise Exercise 5|1 Videos
Similar Questions
Explore conceptually related problems
The packing efficiency of the two-dimensional sqare unit cell shown below is
The packing efficiency of the two dimensional square unit cell shown below is:
The packing efficiency of the two - dimensional square unit cell show below is
The packing efficiency of the two dimensional square unit cell shown is :
The packing efficiency of the 2D square unit cell shown below is
