The correct answer is option-3 gamma-rays.

Alpha-rays (option-1) are made up of alpha particles, which consist of two protons and two neutrons. These particles have low penetrating power and energy due to their large size and mass. Therefore, they have lower energy compared to gamma-rays.

Beta-rays (option-2) are streams of high-energy electrons or positrons. These particles have higher penetrating power and energy than alpha-rays but still have lower energy compared to gamma-rays.

Gamma-rays (option-3) are electromagnetic radiation consisting of high-energy photons. They have the highest energy among the options listed. Gamma-rays are produced during radioactive decay or nuclear reactions and have the highest penetrating power, which allows them to pass through most materials. Due to their high energy and ability to penetrate matter, they have various medical, industrial, and research applications.

X-rays (option-4) are also a form of electromagnetic radiation, but they have lower energy compared to gamma-rays. X-rays are commonly used in medical imaging and diagnosis and have higher penetrating power than alpha and beta particles but lower than gamma-rays.

In summary, option-3 gamma-rays have the highest energy among the listed options.