Two identical thermometers are constructed with bulbs of volume and capillary area

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

Two identical thermometers are constructed with bulbs of volume 0.50 cm30.50\,\text{cm}^3 and capillary area 5.0×10−3 cm25.0\times10^{-3}\,\text{cm}^2. One is filled with mercury (real γr=1.8×10−4 K−1\gamma_r = 1.8\times10^{-4}\,\text{K}^{-1}) and the other with alcohol (real γr=1.1×10−3 K−1\gamma_r = 1.1\times10^{-3}\,\text{K}^{-1}). The glass in both thermometers has coefficient γg=9.0×10−6 K−1\gamma_g = 9.0\times10^{-6}\,\text{K}^{-1}. Taking the apparent expansion to be constant, the ratio of their sensitivities (length rise per degree Celsius for alcohol to that for mercury) is closest to (a) 6.16.1 (b) 7.07.0 (c) 6.46.4 (d) 1.01.0

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