(a) Each part will have a resistance $r = R/10$
Let equivalent resistance be $r_{R},$ then
$\frac{1}{r_{R}} = \frac{1}{r} + \frac{1}{r} + \frac{1}{r}\ldots\ldots.$ 10 times
$\therefore\frac{1}{r_{R}} = \frac{10}{r} = \frac{10}{R/10} = \frac{100}{R} \Rightarrow r_{R} = \frac{R}{100} = 0.01R$