Thirteen resistances each of resistance `R` ohm are connected in the circuit as shown in the figure below. The effective resistance between `A` and `B` is

Answer

(i) `(v_(0))/(3)` (ii) `(2mv_(0)^(2))/(3x_(0)^(2))`

Explanation

After collision `U_(A) = V_(0)`
(i) When `(v_("inst")_(A) = (v_("inst")_(B) rArr mv_(0) = 3mv rArr v = v_(0)//3`
(ii) COME
`rArr (1)/(2) mv_(0)^(2) = (1)/(2)(3m)v^(2) + (1)/(2) kx_(0)^(2)`
`k = (2m)/(3) ((v_(0))/(x_(0)))^(2)`