Two bottles A and B have radii `R_(A)` and `R_(B)` and heights `h_(A)` and `h_(B)` respectively with `R_(B) = 2R_(A)` and `h_(B) = 2h_(A)`. These are filled with hot water at `60^(@)C`. Consider that heat loss for the bottles takes place only from side surfaces. If the time the water to cool down to `50^(@)C` is `t_(A)` and `t_(B)` for the bottles A and B, respectively, then `t_(A)` and `t_(B)` are best related as

Options

A. `t_(A)=t_(B)`
B. `t_(B)=2t_(A)`
C. `t_(B)=4t_(A)`
D. `t_(A)=t_(A)//2`

Answer

B