A particle of mass m is moving in a straight line is acted on by an attractive force ` ( m k^2 a^2)/( x^2)` for ` x ge a and ( 2m K ^2 x)/( a)` for ` x lt 2`.If the particle starts from rest at the point x = 2a, then it will reach the point x = 0 with a speed

Options

A. `k sqrt(a)`
B. `k`
C. `k sqrt(3a)`
D. `1 / k sqrt(a)`

Answer

C