The correct option is
C Maximum current which can be taken from the battery is 2 A.
The circuit diagram for the given case can be drawn as shown below.
where
V is potential across battery,
E is emf of the battery,
r is internal resistance of the battery and
R is external resistance.
The relation between emf and potential across battery is given by
V=E−Ir(1)
The above relation matches with straight line equation,
y=mx+C
where slope,
m=−r and y-intercept,
C=E
Hence option D is incorrect.
From graph, y intercept is 10 V.
Since y-intercept,
C=E=10V
Hence option B is correct.
Now slope of the
V−I graph is
m=0−102−0=−5
Since slope,
m=−r
⇒r=5 Ω
Hence option A is correct.
Maximum current can be drawn from the battery when external resistance
R is zero.
Thus relation (1) becomes,
0=E−Ir
⇒E=Ir
I=Er=105=2 A
Hence option C is correct.