Consider two thermometers \( T_{1} \) and \( T_{2} \) of equal leng...
0Consider two thermometers \( T_{1} \) and \( T_{2} \) of equal length which can be used to measure temperature over the range
\( \mathrm{P} \) \( \theta_{1} \) to \( \theta_{2} . T_{1} \) contains mercury as thermometric liquid while
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\( T_{2} \) contains bromine. The volumes of the two liquids are the same at the temperature \( \theta_{1} \). The volumetric coefficients of expansion of mercury and bromine are \( 18 \times 10^{-5} \mathrm{~K}^{-1} \) and \( 108 \times 10^{-5} \mathrm{~K}^{-1} \) respectively. The increase in length of each liquid is the same for the same increase in temperature.
If the diameters of the capillary tubes of the two thermometers are \( d_{1} \) and \( d_{2} \) respectively, then the ratio \( d_{1}: d_{2} \) would be closest to
[KVPY 2014]
(a) \( 6.0 \)
(b) \( 2.5 \)
(c) \( 0.5 \)
(d) \( 0.4 \)
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