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JEE Advanced 2009Paper 2
Exam
JEE Advanced
Year
2009
Paper
Paper 2
Subject
Physics
Chapter
Magnetic Effects of Current

JEE Advanced 2009 · Paper 2 · Physics · Magnetic Effects of Current

Two metallic rings A and B , identical in shape and size but having...

Two metallic rings AA and BB, identical in shape and size but having different resistivities ρA\rho_A and ρB\rho_B, are kept on top of two identical solenoids as shown in the figure. When current II is switched on in both the solenoids in identical manner, the rings AA and BB jump to heights hAh_A and hBh_B, respectively, with hA>hBh_A>h_B. The possible relation(s) between their resistivities and their masses mAm_A and mBm_B is(are) Two metallic rings A and B , identical in shape and size but having different resistivities _A and _B , are kept on top

Options

  1. AρA>ρB\rho_A>\rho_B and mA=mBm_A=m_B
  2. BρA<ρB\rho_A < \rho_B and mA=mBm_A=m_B
  3. CρA>ρB\rho_A>\rho_B and mA>mBm_A>m_B
  4. DρA<ρB\rho_A < \rho_B and mA<mBm_A < m_B

Correct answer

B. ρA<ρB\rho_A < \rho_B and mA=mBm_A=m_B

Step-by-step solution

Induced emf e=−dϕdte=-\frac{d \phi}{d t}. For identical rings induced emf will be same. But currents will be different. Given hA>hBh_A>h_B. Hence, vA>vBv_A>v_B as \left(h=\frac{v^2}{2 g}\right).If. If\rho_A>\rho_B,then,, then,I_A < I_B.Inthiscasegivenconditioncanbefulfilledif. In this case given condition can be fulfilled ifm_A < m_B.If. If\rho_A < \rho_B,then, thenI_A>I_B.Inthiscasegivenconditioncanbefulfilledof. In this case given condition can be fulfilled ofm_A \leq m_B.
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