Which of these is correct for each pair of statements? \[\] Statement 1: Resistance of $50W$ bulb is greater than that of a $100W$ bulb. \[\] Statement 2: Resistance of a bulb is inversely proportional to rated power.

Question

$\begin {array} {1 1} (A)\;Both \: statements\: are\: true.\: Statements\: 2\: is\: a\: correct \: explanation \: for \: statement\: 1 \\ (B)\; Both \: statements\: are\: true.\: Statements\: 2 \: is \: not\: a \: correct\: explanation\: for\: statement\: 1 \\ (C)\; Statement\: 1\: is\: true,\: statement\: 2 \: is \: false \\ (D)\;Statement \: 1\: is\: false, \: statements \: 2\: is \: false \end {array}$