Read the given passage and answer the following questions.
When mass of car is 800 kg , wheel base is `1.1` m , height of centre of gravity is 50 cm , banking angole of `30^(@)` and radius of curve is 200 , (take `g = 9.8 ms^(-2) , and mu = 0.2`)
When a vehicle rounds , it requires some centripetal force ` = mv^(2)//r` . If the road is unbanked , the necessary force is provided by the force of friction between the tyres and road . to avoid skidding the speed of vehicle must be `le sqrt(murg)` and to avoid overturning , the speed must be `le sqrt((grx)/h)` , where 2x is the wheel base and h is height of centre of gravity , above the road . The dependence on friction can be avoided if the road is suitable banked . The safe speed then rises to `sqrt( r g tan theta)` . In no case , the speed limits depend upon mass of the vehicle .
The safe speed on banked road is

Options

A. `33.6 ms^(-1)`
B. `46.4 ms^(-1)`
C. `9.8 ms^(-1)`
D. `19.6 ms^(-1)`

Answer

A

Explanation

When the curve is banked , safe speed ,
`v = sqrt(rg tan theta) = sqrt(200 xx 9.8 tan 30^(@))=sqrt((200 xx 9.8)/(sqrt(3))) = 33.6 `m/s