Step 1: Recall periodic trend of metallic character.
Metallic character increases down a group.
Metallic character decreases from left to right across a period.
Step 2: Compare period 3 elements.
In period 3:
\[
Na,\ Mg,\ Si,\ P
\]
are arranged from left to right.
Metallic character decreases in the order:
\[
Na>Mg>Si>P.
\]
So increasing order among these is:
\[
P<Si<Mg<Na.
\]
Step 3: Place beryllium.
Beryllium is a metal, but it is smaller and less metallic than magnesium.
However, it is more metallic than silicon and phosphorus.
So:
\[
Si<Be<Mg.
\]
Step 4: Final order.
Combining all:
\[
P<Si<Be<Mg<Na.
\]
Therefore, the correct order is:
\[
P<Si<Be<Mg<Na.
\]