What is the smallest positive integer $n$ such that $\sqrt{n}-\sqrt{n-1}<.01$?
$\textbf{(A) }2499\qquad \textbf{(B) }2500\qquad \textbf{(C) }2501\qquad \textbf{(D) }10,000\qquad  \textbf{(E) }\text{There is no such integer}$
Adding $\sqrt{n - 1}$ to both sides, we get
\[\sqrt{n}  49.995.\]
Squaring both sides again, we get
\[n - 1 > 2499.500025,\]
so $n > 2500.500025$. The smallest positive integer $n$ that satisfies this inequality is $\boxed{2501}$.