Answer: Lattice parameter, a = (4R)/(√3)
Step-by-step explanation:
The typical arrangement of atoms in a unit cell of BCC is shown in the first attachment.
The second attachment shows how to obtain the value of the diagonal of the base of the unit cell.
If the diagonal of the base of the unit cell = x
(a^2) + (a^2) = (x^2)
x = a(√2)
Then, diagonal across the unit cell (a cube) makes a right angled triangle with one side of the unit cell & the diagonal on the base of the unit cell.
Let the diagonal across the cube be y
Pythagoras theorem,
(a^2) + ((a(√2))^2) = (y^2)
(a^2) + 2(a^2) = (y^2) = 3(a^2)
y = a√3
But the diagonal through the cube = 4R (evident from the image in the first attachment)
y = 4R = a√3
a = (4R)/(√3)
QED!!!
Answer:
Options (A), (B) and (C)
Step-by-step explanation:
In the given figure,
Length of side AD = 16 units
If this side is scaled by a factor = k
Then the length of the corresponding side will be = 16k
If 0 < k < 1,
Then length of the corresponding side will be less than 16.
[Example: If k = 
Therefore, scaled side of the corresponding side of the quadrilateral = 
= 4]
That means length of corresponding sides may be 4, 6.5 and 12.
Options (A), (B) and (C) will be the answer.
This is a classic example of Scientific Notation.
5.3 x 10^5 actually equals 530,000
3.8 x 10^4 actually equals 38,000
Since it is asking for the sum of the numbers you are adding.
Your new equation look like this:
530,000 + 38,000
= 568,000
now all you have to do is count the decimal points. You start from the end zero and count the spaces in between until you get to the tenths place. (Right behind the first number) There are 5
So your answer will be:
B. 5.68 x 10^5.
140 because 14 ten times is 140 and thats the same value as 14 tens
I have included a picture. In the picture you will find the work and final answer.
