A non-conducting ring of radius $R$ having uniformly distributed charge $Q$ starts rotating about $XX'$ axis passing through diameter with an angular acceleration $\alpha$, as shown in the figure. Another small conducting ring having radius $a$ ($a \ll R$) is kept fixed at the centre of bigger ring in such a way that axis $XX'$ is passing through its centre and perpendicular to its plane. If the resistance of small ring is $r = 1\,\Omega$, find the induced current in it in ampere. (Given $Q = 16\pi^2 \times 10^{-2}\,\mu\text{C}$, $R = 1\,\text{m}$, $a = 0.1\,\text{m}$, $\alpha = 8\,\text{rad/s}^2$, $\mu_0 = 4\pi\times10^{-7}\,\text{H/m}$)