A circular road of radius r is banked for a speed v=40 km/hr. A car of mass m attempts to go on the circular road. The frIction coefficient between the tyre and the road is negligible.

Options

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

Answer

D

Explanation

`Nsin theta=(mu^(2))/(r )`
`N cos theta=mg`
If `ult40km//h,N` is smaller
`Ncios theta ltmg,` it will slip down
`N=(m u^(2))/(r sin theta),N=(mg)/(cos theta)`
`Ngt(m u^(2))/(r ),Ngtmg`