Two identical blocks of metal are at $20^{\circ} C$ and $80^{\circ} C$, respectively. The specific heat of the material of the two blocks increases with temperature. Which of the following is true about the final temperature $T_f$ when the two blocks are brought into contact (assuming that no heat is lost to the surroundings)?
Two identical blocks of metal are at $20^{\circ} C$ and $80^{\circ} C$, respectively. The specific heat of the material of the two blocks increases with temperature. Which of the following is true about the final temperature $T_f$ when the two blocks are brought into contact (assuming that no heat is lost to the surroundings)?
- [KVPY 2010]
- A
$T_f$ will be $50^{\circ} C$
- B
$T_f$ will be more than $50^{\circ} C$
- C
$T_f$ will be less than $50^{\circ} C$
- D
$T_f$ can be either more than or less than $50^{\circ} C$ depending on the precise variation of the specific heat with temperature
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- [KVPY 2015]
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