A particle travels along the arc of a circle of radius r . Its speed depends on the distance travelled l as `v=asqrtl` where a is a constant . The angel `alpha` between the vectors of total acceleration and the velocity of the particle is

Options

A. `tan alpha=R/(2s)`
B. `tan alpha=(2a)/R`
C. `tan alpha=(2R)/s`
D. `tan alpha=s/(2R)`

Answer

B

Explanation

`tan alpha=v^(2)/Rxx1/(dv//dt)=(a^(2)s)/(Rav//2sqrt(s))=(2s)/R`