Who developed a scientific explanation for eclipses?
A) Ved Vyas
B) Aryabhatta
C) Maharishi Balmiki
D) Tulsidas

Hint:
-He was one of the major mathematicians. Born in 476 AD, he died in 550 AD.
-For the modern scholars, his work and history are available.
-He discovered an approximation of pi which is 3.1416.

Complete answer:
Let us look into the given options
Option A) Ved Vyas – is an incorrect answer because Vyasa is the traditional author of the Mahabharata, and puranas, as well as the traditional compiler of Vedas, some of the most important works in the Hindu tradition. He is also called Veda Vyas. The festival of Guru Purnima is celebrated and dedicated to him.
Option B) Aryabhatta – is a correct answer because he developed a scientific explanation for eclipses. He was one of the first great astronomers-mathematicians of the classical Indian mathematics and Indian astronomy era. He explored a broad range of subjects, including the extraction of square roots, the resolution of quadratic equations, and the prediction of eclipses. He demonstrated how eclipses occurred with his angle-measuring system with the correct computation of shadows.
Option C) Maharishi Balmiki – is an incorrect answer because Valmiki, also known as Lal Beg or Bala Shah, is celebrated as the harbinger-poet in Sanskrit literature. It is incorrect here.
Option D) Tulsidas – is an incorrect answer because Tulsidas, also known as Goswami Tulsidas, was a great Hindu poet Saint, reformer as well as philosopher and composed various popular books.

Hence, option B is the correct answer.

Note:
i) An eclipse is a celestial phenomenon that happens when by passing into the shadow of another body or by making another body pass between it and the observer, an astronomical object or spacecraft is temporarily blurred.
ii) Syzygy is defined as the arrangement of three celestial objects.
iii) There are two types of eclipse, one is the eclipse of the moon and the second one is the eclipse of the sun.