A) \[6.77\times {{10}^{-4}}V\]
B) \[5.77\times {{10}^{-4}}V\]
C) \[5.23\times {{10}^{-4}}V\]
D) \[5.47\times {{10}^{-4}}V\]
Correct Answer: B
Solution :
The earth's horizontal magnetic induction component is given by \[{{B}_{H}}=B\,cos\,60{}^\circ \] \[B=\frac{{{B}_{H}}}{\cos 60{}^\circ }\] \[B=\frac{0.4\times {{10}^{-4}}}{1/2}=0.8\times {{10}^{-4}}T\] and the vertical component of B \[{{B}_{V}}=B\text{ }sin\text{ }60{}^\circ =0.8\times {{10}^{-4}}\times \frac{\sqrt{3}}{2}\] The emf induced \[E=BLv\] \[=0.8\times {{10}^{-4}}\times \frac{\sqrt{3}}{2}\times 1\times 30\times \frac{5}{18}\] \[=5.77\times {{10}^{-4}}V\]You need to login to perform this action.
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