A) \[1.158\,\,V\]
B) \[0.58\,\,V\]
C) \[0.29\,\,V\]
D) \[5.8\,\,V\]
Correct Answer: B
Solution :
Here:\[n=4000,\,\,B=0.5\times {{10}^{-4}}\,\,wb/{{m}^{2}}\] Rate of rotation of coil\[=1800\,\,rev/\min \] \[=\frac{1800}{60}=30\,\,rev/\sec \] \[gw=2\pi f=2\pi \times 30=60\pi \,\,rad/s\] \[r=7\,\,cm=0.07\,\,m\] Now area of coil \[A=\pi {{r}^{2}}=\pi \times {{(0.07)}^{2}}\] \[=49\pi \times {{10}^{-4}}{{m}^{2}}\] Now the maximum energy induced is \[e=BA\,\,n\omega \] \[=0.5\times {{10}^{-4}}\times 49\pi \times {{10}^{-4}}\times 4000\times 60\pi \] \[=0.58\,\,V\]
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