State what is meant by the

(i) Chandrasekhar limit.

(ii) Oppenheimer–Volkoff limit.

Suggest how your answers in (a) can be used to predict the fate of a main sequence star.

(i) sets upper limit on mass of white dwarf;
(ii) sets upper limit on mass of neutron star;

(if in the supernova phase) the mass blown leaves behind a mass of 1.4M_Sun / less than the Chandrasekhar limit;
the star will evolve to a white dwarf;
mass greater than about 1.4M_Sun, but less than the O–V limit, will evolve (because of the O–V limit) into a neutron star;