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 to avoid toppling on unbanked curve is

Options

A. `19.8 ms^(-1)`
B. `198 ms^(-1)`
C. `46.4 ms^(-1)`
D. `1.98 ms^(-1)`

Answer

C

Explanation

Here 2 x = 1.1 m , `x = (1.1)/2 m ` , h = 50 cm = 0.5 m , r = 200 m
`v = sqrt((grx)/h) = sqrt((9.8 xx 200)/(0.5) xx(1.1)/2 ) = 46.4 m//s`