Reconstruction of an oversampled signal with sub-nyquist analog filters
If you sample your signal at 2000 Hz, in frequency domain, you will have your signal shifted to 2000 Hz, and its multiples. As your signal has bandwidth of 100 Hz, the minor frequency that you don't want will be 1900 Hz. So in theory, thinking about an ideal low pass filter, you can filter in any frequency between 100 Hz and 1900 Hz.

So, if use a low pass filter with cutoff frequency in this range, you will be able to reconstruct your signal. Nothing different happens.



It is easier to answer your question when you think about what is happening in frequency domain when you samples your signal: the spectrum becomes periodic in the frequency of sampling.

See the figure bellow. In (a) you have the spectrum of your original signal. In (c), you have the sampled signal spectrum.

When you sample at $ f_{S} $, a replica of the signal will appear there and in $ -f_{S} $, and in its multiples (not show in the figure). So, you need to eliminate this components using a low pass filter to reconstruct your original signal. So, you can use a low pass filter with cutoff frequency anywhere between $ f_{max} $ and $ f_{S} - f_{max} $.