A Very Light 1

Multiple Choice

A very light 1.00-m wire consists of two segments of equal length, one of steel (Young's modulus is 2.00 × 10¹¹ N/m²) and one of brass (Young's modulus is 9.0 × 1010 N/m²) . The steel segment is 1.50 mm in diameter, and the brass segment has twice this diameter. When a weight w is hung from the ceiling by this wire, the steel segment stretches by 1.10 mm. By what distance does the brass segment stretch?

A) 0.50 mm
B) 0.61 mm
C) 1.2 mm
D) 2.4 mm
E) 9.8 mm