The correct option is A −+N(CH3)3
Permanent shift in electron density away from the carbon chain to the substituent is called -I effect.
Electron withdrawing groups show negative inductive effect. Electron withdrawing groups means substituent which withdraws electron pair towards itself. So the correct order of -I effect will be
−+N(CH3)3>−+NH3>F>I.
The −+N(CH3)3 and −+NH3 shows maximum electron withdrawing effect as compared to −F and −I due to presence of positive charge. Steric Repulsion of alkyl group causes the bond length(N-R) to increase, hence the electron donation by -R group becomes difficult, leading to −+NR3 better EWG as compared to −+NH3.
Among F and I more electronegative element has better withdrawing ability of electron hence F>I
Hence −+N(CH3)3 will show maximum -I effect.