A) 1 : 2
B) 1 : 4
C) 1 : 16
D) 1 : 8
Correct Answer: D
Solution :
\[H=\frac{Q}{t}=\frac{KA({{\theta }_{1}}-{{\theta }_{2}})}{l}\] Here \[{{K}_{1}}={{K}_{2}}\] \[{{l}_{A}}:{{l}_{B}}=2:1\] \[{{r}_{A}};{{r}_{B}}=1:2\] From Eq.(i) \[\frac{{{Q}_{A}}}{{{Q}_{B}}}=\frac{r_{A}^{2}}{{{l}_{A}}}\times \frac{{{l}_{B}}}{r_{B}^{2}}={{\left( \frac{{{r}_{A}}}{{{r}_{B}}} \right)}^{2}}\times \left( \frac{{{l}_{B}}}{{{l}_{A}}} \right)\] \[\frac{{{Q}_{A}}}{{{Q}_{B}}}=\frac{1}{4}\times \frac{1}{2}=\frac{1}{8}\] Hence, \[{{Q}_{A}}:{{Q}_{B}}=1:8\]You need to login to perform this action.
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