To determine the correct statement that is not true regarding \((+)\) lactose, let's evaluate each of the given options based on our understanding of the chemical properties of lactose:
- \((+)\) lactose is a \(\beta\)-glycoside formed by the union of a molecule of \(D(+)\) glucose and a molecule of \(D(+)\) galactose.
- \((+)\) lactose is a reducing sugar and does not exhibit mutarotation.
- \((+)\) lactose, \(C_{12}H_{22}O_{11}\) contains \(8-OH\) groups.
- On hydrolysis, \((+)\) lactose gives equal amounts of \(D(+)\) glucose and \(D(+)\) galactose.
Upon evaluation, the statement "\((+)\) lactose is a reducing sugar and does not exhibit mutarotation" is the incorrect one, as lactose does exhibit mutarotation.