You measure the light from a neutron star and the physical signal xa (t) detected by your sensor is a sinusoid radio wave at 400 Hz. Your system samples this signal with a sampling rate of FT Hz which gives a digital signal x (n) which is storedon disk. Later you want to use x (n) to reconstruct the signal. We call the reconstructed signal xr (t) and this is what you are on when you subsequently analyze your signal.

a) What is the apparent frequency of the sinusoid in the reconstructed signal xr (t) if the sampling rate FT = 2000 Hz? b) What is the apparent frequency of the sinusoid in the reconstructed signal xr (t) if the sampling rate FT = 1500 Hz? c) What is the apparent frequency of the sinusoid in the reconstructed signal xr (t) if the sampling rate FT = 500 Hz? d) What is the apparent frequency of the sinusoid in the reconstructed signal xr (t) if the sampling rate FT = 450 Hz? e) What is the apparent frequency of the sinusoid in the reconstructed signal xr (t) if the sampling rate FT = 300 Hz?