Question

what is the acceleration associated with mass m with inclined plane theta with friction​

Answer 1

From FBD of block,
N=mgcosθ

p+f=mgsinθ
or f=mgsinθ−P

As P varies from mg(sinθ−μcosθ) to mg(sinθ+μcosθ)

f varies from +μmg cosθ to −μmg cosθ.

This value of friction is always less than or equal to μN in magnitude.
Hence option (A) is correct.