Answer
(a) $T = 2.0~s$
(b) $T = 2.1~s$
Work Step by Step
(a) We can find the period on the earth as:
$T = 2\pi~\sqrt{\frac{L}{g}}$
$T = 2\pi~\sqrt{\frac{1.0~m}{9.80~m/s^2}}$
$T = 2.0~s$
(b) The acceleration due to gravity on Venus is $g_v = 8.87~m/s^2$. We can find the period on Venus as:
$T = 2\pi~\sqrt{\frac{L}{g_v}}$
$T = 2\pi~\sqrt{\frac{1.0~m}{8.87~m/s^2}}$
$T = 2.1~s$
