A) \[\frac{5}{7}\]
B) \[\frac{5}{2}\]
C) \[\frac{2}{5}\]
D) \[\frac{7}{5}\]
Correct Answer: B
Solution :
Let\[{{K}_{1}}\]and \[{{K}_{2}}\]be the coefficients of thermal conductivity of the materials and\[{{t}_{1}}\]and\[{{t}_{2}}\]be the time in which ice melts in two vessels. As both the vessels are identical, so A and\[x\]in both the cases is same \[\therefore \] \[Q=\frac{{{K}_{1}}A({{\theta }_{1}}-{{\theta }_{2}}){{t}_{1}}}{x}\] \[=\frac{{{K}_{2}}A({{\theta }_{1}}-{{\theta }_{2}}){{t}_{2}}}{x}\] Or \[{{K}_{1}}{{t}_{1}}={{K}_{2}}{{t}_{2}}\] Or \[\frac{{{K}_{1}}}{{{K}_{2}}}=\frac{{{t}_{2}}}{{{t}_{1}}}=\frac{25\,\min }{10\,\min }=\frac{5}{2}\]
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