设命题 $p: \exists n \in N, n^{2}>2^{n}$, 则 $\neg p$ 为 ( )
$\text{A.}$ $\forall n \in N, n^{2}>2^{n}$
$\text{B.}$ $\exists n \in N, n^{2} \leqslant 2^{n}$
$\text{C.}$ $\forall \mathrm{n} \in \mathrm{N}, \mathrm{n}^{2} \leqslant 2^{\mathrm{n}}$
$\text{D.}$ $\exists n \in N, n^{2}=2^{n}$