The radioactive isotope that undergoes beta decay to produce sulfur-32 is phosphorus-32 (³²P).

Here's the nuclear equation:

³²P → ³²S + e⁻ + νₑ

* ³²P (Phosphorus-32) is the parent nucleus.

* ³²S (Sulfur-32) is the daughter nucleus.

* e⁻ represents the emitted beta particle (an electron).

* νₑ represents the emitted electron antineutrino.

In beta decay, a neutron in the nucleus of the parent atom decays into a proton, an electron (beta particle), and an antineutrino. The proton remains in the nucleus, increasing the atomic number by one and forming the daughter nucleus.