Step 1: Understanding the Concept:
Avirulence ($Avr$) genes encode effectors that are recognized by plant resistance ($R$) gene products, triggering Effector-Triggered Immunity (ETI), which results in a hypersensitive response that stops disease progression.
Detailed Explanation:
Let us evaluate both statements:
Statement I:
An active $Avr$ gene leads to the pathogen's recognition by a resistant host harboring the matching $R$ gene.
If a mutation occurs in the $Avr$ gene (such as deletion, point mutation, or frame-shift), the plant $R$-protein can no longer bind or detect the effector.
This allows the pathogen to escape host surveillance and successfully colonize the host, causing disease.
Thus, mutations in $Avr$ genes that evade recognition are beneficial for the pathogen's survival and virulence.
Therefore, Statement I is correct.
Statement II:
Mutations in effector-coding genes (including $Avr$ genes) typically disrupt the binding interface or conformation of the effector, which prevents or reduces perception by plant cytoplasmic $R$-receptors.
An increase or improvement in perception would trigger a strong host hypersensitive response and kill the pathogen, which is highly disadvantageous to the pathogen.
Therefore, Statement II is incorrect.
Step 2: Final Answer:
Statement I is correct, and Statement II is incorrect.
This corresponds to Option (C).