A) \[B\omega {{r}^{2}}\]
B) \[\frac{B\omega {{r}^{2}}}{2}\]
C) \[4B\omega {{r}^{2}}\]
D) \[\frac{{{\pi }^{2}}{{r}^{2}}B\omega }{8}\]
Correct Answer: A
Solution :
[a] \[\left| E \right|=\]Magnitude of induced emf \[=\frac{B{{\ell }^{2}}}{2}\omega ,\ell =\sqrt{2}r\] \[E=\frac{B(2{{r}^{2}})\omega }{2}=B\omega {{r}^{2}}\]
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