Solution :
$$Li, Be, B$$ and $$C$$ are present in II
nd period. In a period from left to right ionisation potential increases.
\[\xrightarrow[Li\,\,\,Be\,\,\,\,B\,\,\,\,C]{\text{Ionisation}\,\,\text{potention}\,\,\text{increase}}\]
* But in case of $$Be$$ and $$B, Be$$ has higher ionisation potential than $$B$$ due to stable configuration of $$Be.$$
$${}_4Be = 1{s^2},2{s^2}$$

Stable configuration ( due to fully- filled orbital )
$${}_5B = 1{s^2},2{s^2}2{p^1}$$

Unstable configuration
So, the correct order of ionisation potential of given elements is
$$Li < B < Be < C$$