Physics
General
Easy

Question

In the arrangement shown in figure when the switch S2 is open, the galvanometer shows no deflection for l = L/2. When the switch S2 is closed, the galvanometer shows no deflection for l = 5L/12. The internal resistance (r) of 6 V cell, and the emf E of the other battery are respectively

  1. 3capital omega, 8V
  2. 2capital omega, 12V
  3. 2capital omega, 24V
  4. 3capital omega, 12V

The correct answer is: 3capital omega, 12V


    table attributes columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell r equals open parentheses ell subscript 1 over ell subscript 2 minus 1 close parentheses straight R end cell row cell equals open parentheses fraction numerator straight L divided by 2 over denominator fraction numerator 5 straight L over denominator 12 end fraction minus 1 end fraction close parentheses 15 end cell row cell equals open parentheses 12 over 10 minus 1 close parentheses 15 equals 3 straight capital omega end cell end table
    When S2 open
    Terminal voltage straight V equals 6 equals straight k cross times straight L over 2
    table attributes columnalign left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 6 equals open parentheses epsilon over straight L close parentheses cross times straight L over 2 end cell row cell epsilon equals 12 space straight V end cell end table

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