Answer:
-2
Step-by-step explanation:
We have to multiply 10 and
Here we have to distribute the negative sign.
Distributive property = -(a) = -a
Using the above property, we get =
Now we have to multiply 10 and
= 10 ×
=
=
Now we have to divide -10 by 5.
= -2
Answer:
Step-by-step explanation:
Given
See attachment
Required
Determine the surface area
The figure is made up of two cuboids and the surface area of a cuboid is:
Because the bottom part of the upper piece is not visible, the area is calculated as:
This gives:
For the bottom piece:
We calculate its area as . However, the area of the invisible part will be subtracted.
So, we have:
The total surface area is:
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!!!
