Nasir al-Din al-Tusi was a polymath who made significant contributions to various scientific fields. While his work spanned astronomy and mathematics, in the context of historical trivia regarding his inventions, the hygrometer is often cited in educational materials as an instrument he developed or refined for measuring atmospheric humidity.

Jabir bin Hayyan, often referred to as the father of early chemistry, significantly advanced the field by formalizing laboratory techniques. His systematic approach to chemical processes like distillation, sublimation, and crystallization laid the foundation for modern experimental chemistry, moving the discipline away from alchemy toward a more rigorous scientific methodology.

Ibn al-Haytham, also known as Alhazen, was a pioneering scientist whose work in optics, particularly his 'Book of Optics', revolutionized the field. He provided experimental evidence for the laws of reflection and refraction and correctly described the process of vision, moving away from ancient theories to a more empirical, scientific approach.

Allama Inayatullah Mashraqi was a prominent intellectual and political leader in the Indian subcontinent. He established the Khaksar Tehreek in 1931. This movement was characterized by its emphasis on social service, discipline, and a structured organizational approach, aiming to mobilize the masses for social reform and political change during the pre-partition era.

Syed Abul A'la Maududi was a prominent Islamic scholar and thinker. He founded the magazine 'Tarjuman-ul-Quran' in 1933 to propagate his intellectual and religious views. He is also widely recognized for his monumental work, 'Tafhim-ul-Quran', which is a comprehensive exegesis of the Quran written in Urdu, aimed at making the teachings of the Quran accessible to the modern reader.

While many Muslim scholars made significant contributions to astronomy, including the study of solar phenomena, none of the individuals listed in the options are historically credited with the discovery of sunspots. Sunspots were observed by various cultures throughout history, but the specific attribution to these names is incorrect in the context of scientific history.

Al-Qanun fi al-Tibb, or The Canon of Medicine, is a monumental encyclopedia of medicine written by the Persian physician Avicenna. It served as the standard medical textbook in both the Islamic world and Europe for centuries. The work systematically covers human physiology, anatomy, pathology, and pharmacology, reflecting the advanced scientific knowledge of the era and the author's profound influence on medical history.

Dr. Abdus Salam, a renowned theoretical physicist and Nobel laureate, played a pivotal role in the establishment of Pakistan's space program. He served as the first chairman of the Space and Upper Atmosphere Research Commission (SUPARCO) in 1961. His leadership was instrumental in setting the scientific foundation for space research and atmospheric studies in the region, reflecting his deep commitment to advancing science and technology in developing nations.

Dr. Abdus Salam was a distinguished theoretical physicist who made significant contributions to the field of particle physics. In 1979, he was awarded the Nobel Prize in Physics, sharing the honor with Sheldon Glashow and Steven Weinberg for their work on the electroweak unification theory, which describes the electromagnetic and weak nuclear forces as a single interaction.

Omar Khayyam was a prominent Persian polymath who lived during the 11th and 12th centuries. While he made significant contributions to mathematics and astronomy, he is most widely celebrated in literature for his collection of quatrains known as the Rubaiyat, which established his enduring legacy as a renowned poet.