Correct Answer - D
Acid indicatiors are generally weak acid. The dissociation of indicator Hin takes place as floows
`HIn hArr H^(+)+In^(-)`
`therefore K_(In)=([H^(+)][In^(-)])/([HIn])`
or `[H^(+)]=K_(In).([HIn])/([In^(-)])` ….(i)
`because pH=-log [H^(+)]` ...(ii)
From eq. (i) and (ii) we get,
`therefore pH=-log(K_(In).([HIn])/([In^(-)]))`
`=-log K_(In)+log.([In^(-)])/([HIn])=pK_(In)+log.([In^(-)])/([HIn])`
or `log.([In^(-)])/([HIn])=pH-pK_(In)`