# Estimating the abundance of type-Ia supernovae using magnitude limited survey

I would like to estimate the fraction of type-Ia supernovae in a magnitude limited survey (only including those supernovae that are brighter than a certain than a given fixed apparent magnitude).

I currently have the following information:

1. Type-Ia supernovae are usually around 2.5 magnitudes brighter than core-collapse supernovae.

2. Volume limited surveys found that 30% of supernovae within a fixed distance from us are type-Ia.

How can I solve this problem using the above information? The formula for apparent magnitude $$m = -2.512\log_{10}(d/10\mathrm{pc})+c$$ seems like an obvious starting point, but doesn't seem to lead anywhere. A worked solution would be very helpful.

• Are you asking us to do your homework for you? Aug 22, 2019 at 1:07
• Hardly likely during the summer... Aug 22, 2019 at 14:09