Consider two thermometers `T_(1)` and `T_(2)` of equal length which can be used to measure temperature over the range `theta_(1) " to " theta_(2)`. `T_(1)` contains mercury as the thermometric liquid while `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 xx 10^(-5) K^(-1) " and " 108 xx 10^(-5) 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

Options

A. `6.0`
B. `2.5`
C. `0.6`
D. `0.4`

Answer

D