A) \[\frac{2}{\sqrt{3}}{{\left( \frac{\tau }{Bi} \right)}^{\frac{1}{2}}}\]
B) \[\frac{2}{3}\left( \frac{\tau }{Bi} \right)\]
C) \[2{{\left( \frac{\tau }{\sqrt{3}Bi} \right)}^{\frac{1}{2}}}\]
D) \[\frac{1}{\sqrt{3}}\frac{\tau }{Bi}\]
Correct Answer: C
Solution :
[c] Torque \[(\tau )\] on the triangle \[=M\times B\] \[\tau =i\frac{1}{2}\ell .\ell .\sin 60.\]\[B=\frac{1}{2}{{\ell }^{2}}.\frac{\sqrt{3}}{2}Bi\] \[\ell =\sqrt{\frac{4\tau }{\sqrt{3}Bi}}=2{{\left( \frac{\tau }{\sqrt{3}Bi} \right)}^{\frac{1}{2}}}\]You need to login to perform this action.
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