Which type of emission closely traces the star-forming regions of a galaxy?

- molecular CO emission
- coronal X-ray emission
- 21 cm emission
- none of these

To determine which type of emission closely traces the star-forming regions of a galaxy, we need to understand how different types of emissions are related to the process of star formation.

1. Molecular CO Emission: Molecular carbon monoxide (CO) emission can be used to trace star-forming regions in galaxies. CO is a commonly used tracer because it is abundant in star-forming regions and can be detected with radio telescopes. The emission of CO gas from these regions is a result of the interaction between molecular clouds and newly formed stars.

2. Coronal X-ray Emission: X-ray emission, specifically coronal X-ray emission, is not directly associated with star formation in galaxies. Coronal X-ray emission is primarily emitted by hot, ionized gases in a star's corona, which is the outermost layer of a star's atmosphere. This emission is typically associated with high-energy processes such as magnetic activity and stellar flares, rather than star formation.

3. 21 cm Emission: The 21 cm emission refers to the emission of neutral hydrogen (HI) gas at a wavelength of 21 centimeters. This emission can be used to trace the distribution of neutral hydrogen in galaxies, but it is not necessarily closely related to star formation itself. HI emission can indicate the presence of gas, which is a necessary ingredient for star formation, but it does not directly indicate active star-forming regions.

Based on the above explanations, the emission that closely traces the star-forming regions of a galaxy is molecular CO emission (option a). Therefore, the correct answer is "molecular CO emission."