For a cell, the graph between the potential difference (V) across the terminals of the cells and the current I drawn from the cell is as shown in figure. Calculate the e.m.f. and the internal resistance of the cell.

Options

A. `4F/3K`
B. `3F/4K`
C. `4F/K`
D. `2F/K`

Answer

(A)

Explanation

By using reduced mass concept this system can be reduced to
Where `mu=((3m)(6m))/(3m + 6m)=2m` and `F_1 =` Force on either block w.r.t. centre of mass of the system
`= F/2 + (3m)a_(cm) = F/2 + (3m)((F-F//2)/(9m)) = F/2+F/6=2/3F`
Now from wrok energy theorm, `2F/3x_m = 1/2Kx_(m)^(2) rArr x_(m) = (4F)/(3K)`