A) \[5\,\,:\,\,6\]
B) \[6:5\]
C) \[3 : 1\]
D) \[2 : 1\]
Correct Answer: D
Solution :
\[\frac{Q}{t}\,\,=\,\,\frac{KA({{\theta }_{1}}-{{\theta }_{2}})}{l}\,\,\,\Rightarrow \,\,\frac{mL}{t}\,\,=\,\,\frac{KA({{\theta }_{1}}-{{\theta }_{2}})}{l}\,\] \[\Rightarrow \,\,\,K\propto \frac{1}{t}\,\,\,\,\,\,\,(\because remaining\,\,quantities\,\,are\,\,same)\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\frac{{{K}_{1}}}{{{K}_{2}}}=\frac{{{t}_{2}}}{{{t}_{1}}}\,=\,\,\frac{40}{20}\,\,=\,\,\frac{2}{1}\]
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