question_answer

A copper ball of mass 100 gm is at a temperature T. It is dropped in a copper calorimeter of mass 100 gm, filled with 170 gm of water at room temperature. Subsequently, the temperature of the system is found to be \[75{{\,}^{o}}C.\] T is given by: (Given : room temperature\[=30{{\,}^{o}}C,\]specific heat of copper\[\text{=}\,\text{0}\text{.1}\,\text{cal/gm}{{\,}^{\text{o}}}\text{C}\]              [JEE Main 2017]

A)  \[\text{1250}{{\,}^{o}}\text{C}\]        

B)      \[825{{\,}^{o}}\text{C}\]

C)  \[800{{\,}^{o}}\text{C}\]       

D)       \[885{{\,}^{o}}\text{C}\]

Correct Answer: D

Solution :

[d] Heat given = Heat taken