Step 1: Know what Young's modulus tells us.
Young's modulus measures stiffness. A higher value means the material resists stretching or compression more strongly.
Step 2: Compare common values.
Steel has a Young's modulus of about \(200 ext{ GPa}\), which is higher than copper, brass, and aluminium.
Step 3: Choose the stiffest material.
Among the given options, steel has the highest Young's modulus.
\[ oxed{ ext{Option 2: Steel}} \]