A) \[\frac{5{{M}_{1}}}{{{M}_{2}}}-50\]
B) \[\frac{50{{M}_{2}}}{{{M}_{1}}}\]
C) \[\frac{50{{M}_{2}}}{{{M}_{1}}}-5\]
D) \[\frac{5{{M}_{2}}}{{{M}_{1}}}-5\]
Correct Answer: C
Solution :
Heat lost = Heat gain \[\Rightarrow {{M}_{2}}\times 1\times 50={{M}_{1}}\times 0.5\times 10+{{M}_{1}}.{{L}_{f}}\] \[\Rightarrow {{L}_{f}}=\frac{50{{M}_{2}}-5{{M}_{1}}}{{{M}_{1}}}\]\[=\frac{50{{M}_{2}}}{{{M}_{1}}}-5\]
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