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The Nyquist sampling rale for the signal $s(t)=\frac{\sin (500 \pi t)}{\pi t} \times \frac{\sin (700 \pi t)}{\pi t}$ is given by

1. $400 \mathrm{~Hz}$
2. $600 \mathrm{~Hz}$
3. $1200 \mathrm{~Hz}$
4. $1400 \mathrm{~Hz}$