A) \[2:1\]
B) \[2:3\]
C) \[1:1\]
D) \[1:8\]
E) 4: 1
Correct Answer: D
Solution :
\[H=\frac{KA({{\theta }_{1}}-{{\theta }_{2}})}{l}\Rightarrow H\propto \frac{{{r}^{2}}}{l}\] \[\therefore \] \[\frac{{{H}_{A}}}{{{H}_{B}}}={{\left( \frac{{{r}_{A}}}{{{r}_{B}}} \right)}^{2}}\times \left( \frac{{{l}_{B}}}{{{l}_{A}}} \right)={{\left( \frac{1}{2} \right)}^{2}}\times \frac{1}{2}=\frac{1}{8}\]You need to login to perform this action.
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