In the circuit shown, the current through the `4 Omega` resistors is `1 amp` when the points `P` and `M` are connected to a `dc` voltage source. The potential difference between the points `M` and `N` is.
.

Options

A. 0.5 V
B. 3.2 V
C. 1.5 V
D. 1.0 V

Answer

A

Explanation

Kinetic energy `= (1)/(2)m(2v)^(2) xx (1)/(2)2m(v)^(2)`
After collison
Applying momentum conservation for inelastic collision
`2mv hat(j) + m2vhat(i) = 3mvec(v)_(i)`
`K_(f) = (1)/(2) xx 3m xx (v_(f)^(2)) = (4mv^(2))/(3)`
`% DeltaK = (K_(1) - K_(f))/(K_(i))`