A) \[{{T}_{1}}={{T}_{2}}\]
B) \[{{T}_{1}}=2{{T}_{2}}\]
C) \[{{T}_{1}}=4{{T}_{2}}\]
D) \[{{T}_{2}}=9{{T}_{1}}\]
Correct Answer: A
Solution :
Suppose heat evolved in Ist case is \[{{Q}_{1}}\] and that in the IInd case it is \[{{Q}_{2}}\]. Then \[{{Q}_{2}}=\frac{1}{2}{{Q}_{1.}}\] But \[{{Q}_{1}}=1000\,{{T}_{1}}\] and \[{{Q}_{2}}=500\,{{T}_{2}}\] \[\therefore 500\,\,{{T}_{2}}=\frac{1}{2}\times 1000\,\,{{T}_{1}}\,\,i.e.\,{{T}_{2}}={{T}_{1}}\].
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