A Mercury Thermometer Has a Glass Bulb of Interior Volume $0.100 \mathrm {~cm} ^ { 3 } \text { at } 10 ^ { \circ } \mathrm { C }$

Multiple Choice

A mercury thermometer has a glass bulb of interior volume $0.100 \mathrm {~cm} ^ { 3 } \text { at } 10 ^ { \circ } \mathrm { C }$ The glass capillary tube above the bulb has an inner cross-sectional area of $0.012 \mathrm {~mm} ^ { 2 }$ . The coefficient of volume expansion of mercury is $1.8 \times 10 ^ { - 4 } K ^ { - 1 }$ . If the expansion of the glass is negligible, how much will the mercury rise in the capillary tube when the temperature rises from $5 ^ { \circ } \mathrm { C } \text { to } 35 ^ { \circ } \mathrm { C }$ if the bulb was full at $5 ^ { \circ } \mathrm { C } ?$ ?

A) 4.5 mm
B) 0.45 mm
C) 45 cm
D) 45 mm