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NEET Sample Paper NEET Sample Test Paper-36

  • question_answer
    A conducting circular loop is placed in a uniform magnetic field, B=0.025 T with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of \[1\,mm{{s}^{-1}}.\] The induced emf when the radius is 2 cm is

    A) \[2\pi \mu V\]

    B) \[\pi \mu V\]

    C) \[\frac{\pi }{2}\mu V\]

    D) \[2\,\mu V\]   

    Correct Answer: B

    Solution :

     Magnetic flux \[\phi =B.A\] \[=B.\pi \,{{r}^{2}}\] Induced emf, \[|e|=\frac{d\phi }{dt}=B\pi 2r\frac{dr}{dt}\] \[=0.025\times 2\times 2\times {{10}^{-2}}\times 1\times {{10}^{-3}}=\pi \mu V\]


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