Answer
(d) $R=r$
Work Step by Step
let $I$ be the current through circuit
$ I =\frac{V}{R+r}$
Terminal voltage can be given as
$ V_{terminal} = V- Ir$
$\frac{1}{2}V = V - \frac{V}{R+r} r$
$\frac{V}{R+r} r = \frac{1}{2}V$
$2r = R+r$
$R=r$
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