When the road is dry and the coefficient of friction is `mu`, the maximum speed of a car in a circular path is 10 m/s. if the road becomes wet and `mu'=(mu)/(2)`, what is the maximum speed permitted?

Options

A. `5 m//s`
B. `10 m//s`
C. `5 sqrt2 m//s`
D. `10 sqrt2 m//s`

Answer

C

Explanation

`(v_(2))/(v_(1))=sqrt((mu_(2))/(mu_(1)))`
`v_(2)=sqrt(((mu)/(2))/(mu))" "v_(1)`
`=(v_(1))/(v_(2))=(10)/sqrt2=(5xxsqrt2xxsqrt2)/(sqrt2)`
`v_(2)=5sqrt2 m//s`