Quantitative Aptitude

The electrical resistance $R$ of a wire varies directly as its length $L$ and inversely as the square of its diameter $D$. If a wire of length $L$ and diameter $D$ has resistance $8\ \Omega$, a wire of the same material having length $2L$ and diameter $2D$ will have resistance:

Options:

• (A) 4 $\Omega$
• (B) 8 $\Omega$
• (C) 16 $\Omega$
• (D) 2 $\Omega$