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Phosphorus-32 emits
(a) $\alpha$ particles
(b) $\beta$ particles
(c) $\gamma$ particles
(d) $X$- rays

Answer
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Hint: A beta particle, also referred to as a beta ray or beta radiation, is a high-energy, high-speed electron or positron released during the beta decay process by the radioactive decay of the atomic nucleus. There are two types of beta decay, $\beta^{-}$ decay and $\beta^{+}$ decay, which respectively generate electrons and positrons.

Complete answer:
The high-energy and high-speed electron released from the radioactive element is a beta particle. Phosphorus-32 is a phosphorus isotope that is radioactive. In the shape of a beta particle, an electron is released from it. As a result of the emission of beta particles, $S-32$ is created. In medicine and molecular biology, phosphorus-32 is used.
Phosphorus-32 is a phosphorus isotope that is radioactive. The phosphorus-32 nucleus contains 15 protons and 17 neutrons, one neutron more than the most common phosphorus isotope, phosphorus-31. Phosphorus-32 occurs on Earth only in small amounts since it has a short half-life of 14,268 days and thus decays rapidly.

Additional information:
Two protons and two neutrons are alpha particles, also called alpha rays or alpha radiation, which are fused together into a particle similar to a helium-4 nucleus. In the course of alpha decay, they are usually produced, but can also be produced in other ways.
A $\gamma$-ray is a penetrating type of electromagnetic radiation resulting from the radioactive decay of atomic nuclei, or gamma radiation (symbol $\gamma$ or.). It consists of electromagnetic waves of the shortest wavelength and thus imparts the maximum energy of photons.
X-rays, similar to visible light, are a type of electromagnetic radiation. However, x-rays have higher energy in comparison to light and can move through most objects, including the body. To produce photographs of tissues and structures within the body, medical x-rays are used.

So, the correct answer is ‘$\beta$ particles’.

Note:
The beta particle that can be either negatively charged (negatrons) or positively charged (positrons) comes from an atomic nucleus. During radioactive decay, a beta particle is released from the nucleus of an atom. However, the electron occupies regions beyond an atom's nucleus.