NEET Sample Paper NEET Sample Test Paper-35

  • question_answer
    If electric flux varies according to \[\phi =3{{t}^{2}}+4t+2.\]Find emf at\[t=2\,sec\].

    A)  32 volt            

    B)  18 volt

    C)  19 volt            

    D)  16 volt

    Correct Answer: D

    Solution :

    From the formula e.m.f. \[=\frac{d\phi }{dt}\] Here,  \[\phi =3{{t}^{2}}+4t+2\]        .....(i) Differentiating equation (ii) \[\phi \] with respect to we get \[\frac{d\phi }{dt}=\frac{3d}{dt}({{t}^{2}})+4\frac{d}{dt}(t)+\frac{d}{dt}\]    (2) \[\frac{d\phi }{dt}=6t+4\]  \[\left( \because \,\,\frac{d}{dt}{{t}^{n}}=n{{t}^{n-1}} \right)\] \[\Rightarrow \] \[{{\left[ \frac{d\phi }{dt} \right]}_{t-2}}=16\,volt\]


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