Answer: A. Acid strength increases with the −I effect of the alpha substituent. The −I effect follows electronegativity: F > Cl > Br. FCH₂COOH has the strongest −I group at the alpha position, making it the strongest acid among the four. CH₃CH₂COOH has a +I alkyl group, making it the weakest acid (alkyl groups as electron donors: NCERT Class 11 Chemistry Chapter 8, page 274).
Why B is wrong: B is wrong. CH₃CH₂COOH has an ethyl group exerting a +I effect, which destabilises the conjugate base and makes this the weakest acid in the set.
Why C is wrong: C is wrong. Chlorine has a lower electronegativity than fluorine (3.16 vs 3.98), so the −I effect of –Cl is weaker than –F. ClCH₂COOH is a weaker acid than FCH₂COOH. (Trap: confusing inductive effect with resonance — students sometimes rank by bond polarisability instead of electronegativity for −I.)
Why D is wrong: D is wrong. Bromine has a lower electronegativity than both fluorine and chlorine, so BrCH₂COOH exerts a weaker −I effect and is a weaker acid than FCH₂COOH or ClCH₂COOH.