**Core Concept**
Blue-white screening is a type of molecular biology technique used in cloning vectors, specifically in the context of gene expression and protein production. It is based on the principle of beta-galactosidase enzyme activity as a reporter gene, which allows for the identification of recombinant clones.

**Why the Correct Answer is Right**
In blue-white screening, a recombinant plasmid contains a lacZ gene (coding for beta-galactosidase) that is disrupted by the insertion of a foreign gene. When the plasmid is transformed into an E. coli host, the host cells are plated on a medium containing X-gal (5-bromo-4-chloro-3-indolyl-beta-D-galactoside). Beta-galactosidase cleaves X-gal, producing a blue-colored indigo product. **Recombinant clones**, where the lacZ gene is disrupted, are unable to produce beta-galactosidase and appear white on the plate, while **non-recombinant clones** (vector-only) produce beta-galactosidase and appear blue.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because blue-white screening is not used for detecting PCR products or amplifying DNA sequences. While PCR is used in conjunction with cloning, blue-white screening is specifically used for identifying recombinant clones.

**Option B:** This option is incorrect because blue-white screening is not used for detecting protein expression or production. While it can indirectly indicate protein expression, its primary function is to identify recombinant clones.

**Option C:** This option is incorrect because blue-white screening is not used for detecting gene mutations or genetic disorders. While it can be used in the context of genetic engineering, its primary application is in molecular cloning and recombinant protein production.

**Option D:** This option is incorrect because blue-white screening is not used for detecting viral infections or diseases. While it is a molecular biology technique, its application is limited to cloning vectors and recombinant protein production.

**Clinical Pearl / High-Yield Fact**
The blue-white screening technique is a classic example of a "reporter gene" system, where the expression of a particular gene (beta-galactosidase) is used to indicate the presence or absence of a recombinant clone. This technique has been widely used in molecular biology research and has numerous applications in biotechnology and genetic engineering.

**Correct Answer: C. Identifying recombinant clones.**