A Thermometer Is Constructed by Filling a Small Glass Tube $\circ$

Multiple Choice

A thermometer is constructed by filling a small glass tube with a liquid that expands linearly with temperature. The thermometer is then calibrated at 0 ^$\circ$ C and 100 ^$\circ$ C, and the scale evenly divided between the two values. Unfortunately a manufacturing defect results in the middle one-third of the tube being narrower, otherwise the tube has uniform diameter. For what range of temperatures is the reading accurate?

A) 0 ^$\circ$ C to 33 ^$\circ$ C
B) 0 ^$\circ$ C and 67 ^$\circ$ C
C) 0 ^$\circ$ C to 33 ^$\circ$ C and 67 ^$\circ$ C to 100 ^$\circ$ C
D) 67 ^$\circ$ C to 100 ^$\circ$ C
E) At no point does this thermometer gives the right reading except at 0 ^$\circ$ C and 100 ^$\circ$ C.