Observing: How much time do you need to request if you are writing a proposal to make the observations described here? You wish to map 24 objects in neutral carbon (CI) at a frequency of 492 GHz. The telescope has a diameter of 15 meters and its beam is set by the diffraction limit. The spectrometer only points at one position in the sky at a time (i.e. it is NOT and array detector). You want to observe this spectral line with a velocity resolution of 40 km/s [this probably means that your objects are extragalactic!) and your expected line strengths are TA = 0.10 K. You want to make fully sampled maps (e.g. Nyquist sampled) that are 1 arcmin * 1 arcmin in size. The system temperature (Tsys )will be 1800 K if you get the good weather that you hope for. You want to achieve a Signal/Noise Ratio (SNR) of 5 (i.e. Tx/Tms = 5). (a) What is the frequency resolution required? (b) What is the integration time required for a single pointing? (c) How many pointing positions are required for each map? (d) If the observations will require a 20% overhead (additional time beyond integration time for such things as pointing, focus, calibration) then how much time, in total is required by this proposal? (Marks: 8) Observing: How much time do you need to request if you are writing a proposal to make the observations described here? You wish to map 24 objects in neutral carbon (CI) at a frequency of 492 GHz. The telescope has a diameter of 15 meters and its beam is set by the diffraction limit. The spectrometer only points at one position in the sky at a time (i.e. it is NOT and array detector). You want to observe this spectral line with a velocity resolution of 40 km/s [this probably means that your objects are extragalactic!) and your expected line strengths are TA = 0.10 K. You want to make fully sampled maps (e.g. Nyquist sampled) that are 1 arcmin * 1 arcmin in size. The system temperature (Tsys )will be 1800 K if you get the good weather that you hope for. You want to achieve a Signal/Noise Ratio (SNR) of 5 (i.e. Tx/Tms = 5). (a) What is the frequency resolution required? (b) What is the integration time required for a single pointing? (c) How many pointing positions are required for each map? (d) If the observations will require a 20% overhead (additional time beyond integration time for such things as pointing, focus, calibration) then how much time, in total is required by this proposal? (Marks: 8)