Determine the doppler frequency, Electrical Engineering

We are given an M=32 pulse sequence of slow time data, collected with PRF = 10 kHz.  We want to use a Cooley-Tukey radix 2 FFT algorithms to compute the Doppler spectrum of the data. If the Doppler frequency samples are to have a spacing of 100 Hz or less, what is the minimum FFT size K that we should use?  What is the resulting spacing of the Doppler frequency samples in Hz?

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