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Read the given passage and answer the fo...

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 skidding on the unbanked curve is

A

`9.8 ms^(-1)`

B

`19.8 ms^(-1)`

C

`10 ms^(-1)`

D

`1.98 ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B

To avoid skidding on unbanked curve ,
`v=sqrt(mu rg)=sqrt(0.2xx200 xx9.8)= 19.8 m//s`
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