Solved papers for JEE Main & Advanced AIEEE Solved Paper-2013

done AIEEE Solved Paper-2013 Total Questions - 3

• question_answer1) A metallic rod of length\[\ell \] is tied to a string of length\[2\ell \]and made to rotate with angular speed\[\omega \]on a horizontal table with one end of the string fixed. If there is a vertical magnetic field 'B' in the region, the e.m.f. induced across the ends of the rod is:     AIEEE Solevd Paper-2013
  A)
  \[\frac{2B\omega {{\ell }^{2}}}{2}\]                        
  done clear
  B)
  \[\frac{3B\omega {{\ell }^{2}}}{2}\]
  done clear
  C)
  \[\frac{4B\omega {{\ell }^{2}}}{2}\]        
  done clear
  D)
  \[\frac{5B\omega {{\ell }^{2}}}{2}\]
  done clear
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• question_answer2) A circular loop of radius 0.3 cm lies parallel to a much bigger circular loop of radius 20 cm. The centre of the small loop is on the axis of the bigger loop. The distance between their centres is 15 cm. If a current of 2.0 A flows through the smaller loop, then the flux linked with bigger loop is:     AIEEE Solevd Paper-2013
  A)
  \[9.1\times {{10}^{-11}}weber\]              
  done clear
  B)
  \[6\times {{10}^{-11}}weber\]
  done clear
  C)
                         \[3.3\times {{10}^{-11}}weber\]              
  done clear
  D)
  \[6.6\times {{10}^{-9}}weber\]
  done clear
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• question_answer3) In an LCR circuit as shown below both switches are open initially. Now switch\[{{S}_{1}}\]is closed,\[{{S}_{2}}\]kept open. (q is charge on the capacitor and\[\tau =RC\]is Capacitive time constant). Which of the following statement is correct?     AIEEE Solevd Paper-2013
  A)
  Work done by the battery is half of the energy dissipated in the resistor
  done clear
  B)
  \[At\text{ }t=\tau ,\text{ }q=CV/2\]
  done clear
  C)
  \[~At\text{ }t=2\tau ,\text{ }q=CV(1-{{e}^{-2}})\]
  done clear
  D)
  \[At\text{ }t=\frac{\tau }{2},q=CV(1-{{e}^{-1}})\]
  done clear
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