What is this a quiz?
1. Star > 30 solar masses fuses enough iron to breach the Chandrasekhar limit
2. A nova isn't a star explosion. A star explosion is a supernova. For the other one, you may be referring to hypernova, which is just a supernova, or a luminous red nova, which isn't a star explosion.
English
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They are technically implosions. They look like explosions due to the ejected matter, but it is technically an implosion, right?
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Well, depends. Supernovae vary depending on their spectroscopy, and so we can deduce different types of supernovae. Most of them are core collapse, where yes, the star does collapse in on itself, the shockwave going outwards pushing all the material is what we actually see, where as the core collapse will create something like a neutron star or a black hole depending on the size of the progenitor. There is also another type of supernova caused by a white dwarf which is analogous to turning a hose on while spinning it in the air.