A sphere is rolling without slipping on a fixed horizontal plane surface. In the figure, A is the point of contact, B is the centre of the sphere and C is its topmost point. Then

Options

A. (`i`),(`ii`)
B. (`ii`),(`iii`)
C. (`i`),(`iv`)
D. (`ii`), (`iv`)

Explanation

As in problem `133`,
`vecv_(C)=2vhati` , `vecv_(B)=vecvhati`, `vecv_(A)=0`
(`i`) `vecv_(C)-vecv_(A)=2(vecv_(B)-vecv_(C))=2(vhati-2vhati)=-2vhati`, incorrect
(`ii`) `vecv_(C)-vecv_(B)=2vhati-vhati=vhati` , `vecv_(B)-vecv_(A)=vhati-0=vhati`, correct
(`iii`) `|vecv_(C)-vecv_(A)=2v`, `2|vecv_(B)-vecv_(C)|=2v`, correct
(`iv`) `|vecv_(C)-vecv_(A)|=2v`, `4|vecv_(B)|=4v`, incorrect