The fraction of total volume occupied by atoms in simple cubic is ________
a)(
) b)
c)
d) (
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The fraction of total volume occupied by atoms in simple cubic is ________
a)(
) b)
c)
d) (
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Answer:
what are the options please write
Answer:
Let the edge length of the cube be a and radius of atom be r.
Now, in simple cube, number of atoms present =
8
1
×8=1
So, volume occupied =1×
3
4
πr
3
Now, in simple cube atoms at corners will be touching each other.
⇒a=2r⇒r=
2
a
Volume of cube =a
3
So, fraction of total volume occupied =
a
3
3
4
πr
3
=
a
3
3
4
×π×(
2
a
)
3
=
3
4
×π×
2
1
=
6
π