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KVPY Sample Paper KVPY Stream-SX Model Paper-6

  • question_answer
    A 10 m long horizontal wire extends from North East to South West. It is falling, with a speed of \[5.0\,m{{s}^{-1}},\] at right angles to the horizontal component of the earth's magnetic field, of \[0.3\times {{10}^{-4}}\,\text{Wb/}{{m}^{2}}\]. The value of the induced emf in wire is:

    A) \[1.5\times {{10}^{-3}}\,V\]                 

    B) \[1.1\times {{10}^{-3\,}}\,V\]

    C) \[2.5\times {{10}^{-3}}\,V\]                 

    D) \[0.3\times {{10}^{-3}}\,V\]

    Correct Answer: B

    Solution :

    \[\therefore \] \[Emf=B\ell \nu \sin \,45{}^\circ \] \[=(0.3\times {{10}^{-4}})\times 10\times 5\times \frac{1}{\sqrt{2}}\] \[=1.1\times {{10}^{-3}}V.\]


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