A ball moves over a fixed track as shown in thre figure. From A to B the ball rolls without slipping. If surface BC is frictionless and `K_(A),K_(B)` and `K_(C)` are kinetic energies of the ball at A, B and C respectively then
(a). `h_(A)gth_(C),K_(B)gtK_(C)`
(b). `h_(A)gth_(C),K_(C)gtK_(A)`
(c). `h_(A)=h_(C),K_(B)=K_(C)`
(d). `h_(A)lth_(C),K_(B)gtK_(C)`

Options

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

Explanation

`K_(A)+U_(A)=K_(B)+U_(B)=K_(C)+U_(C)`
`K_(A)+mgh_(A)=K_(B)+0=K_(C)+mgh_(C)`
If `h_(A) gt h_(C)` : `K_(B) gt K_(C)` : `K_(C) gt K_(A)`
If `h_(A) lt h_(C)` : `K_(A) gt K_(C)`