The error is present in part B of the sentence. The preposition 'on' should be used here instead of 'to'. 'On' is used as a function word to indicate means of conveyance. Here, the source of dependence is 'scientific principles' whereas 'to' is used to indicate the place/direction.
Hence, option (c) is correct.
Note/-
A Preposition is a word placed before a noun or a pronoun or a noun equivalent (pronoun, adverb, gerund, infinitive, adverbial clause, or any clause that can be used as the object of the preposition) and shows a relationship in space or time or a logical relationship between two or more people, places, or things in a sentence. Examples 1. The teacher scolded the child for being late. 2. We're going to a party. · The words in bold are called prepositions because they normally take position before (pre) a noun/pronoun or a noun equivalent (pronoun, adverb, gerund, infinitive, adverbial clause, or any clause that can be used as the object of the preposition. · The noun/pronoun which is used with a preposition is called its Object.