Physics-
General
Easy

Question

The load versus extension graph for four wires of same material is shown. The thinnest wire is represented by the line

  1. OA    
  2. OB    
  3. OC    
  4. OD    

The correct answer is: OA

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In given figure, a wire loop has been bent so that it has three segments: segment ab (a quarter circle), bc (a square corner), and ca (straight). Here are three choices for a magnetic field through the loop:

text 1)  end text stack B with rightwards arrow on top subscript 1 end subscript equals 3 stack i with hat on top plus 7 stack j with hat on top minus 5 t stack k with hat on top comma text  2)  end text stack B with rightwards arrow on top subscript 2 end subscript equals 5 t stack i with hat on top minus 4 stack j with hat on top minus 15 stack k with hat on top comma text  3)  end text stack B with rightwards arrow on top subscript 3 end subscript equals 2 stack i with hat on top minus 5 stack t with hat on top minus 12 stack k with hat on top
Where stack B with rightwards arrow on topis in milliteslas and t is in seconds. If the induced current in the loop due to stack B with rightwards arrow on top subscript 1 end subscript comma stack B with rightwards arrow on top subscript 2 end subscript text end textand stack B with rightwards arrow on top subscript 3 end subscriptare i subscript 1 end subscript comma i subscript 2 end subscript text  and  end text i subscript 3 end subscriptrespectively then

In given figure, a wire loop has been bent so that it has three segments: segment ab (a quarter circle), bc (a square corner), and ca (straight). Here are three choices for a magnetic field through the loop:

text 1)  end text stack B with rightwards arrow on top subscript 1 end subscript equals 3 stack i with hat on top plus 7 stack j with hat on top minus 5 t stack k with hat on top comma text  2)  end text stack B with rightwards arrow on top subscript 2 end subscript equals 5 t stack i with hat on top minus 4 stack j with hat on top minus 15 stack k with hat on top comma text  3)  end text stack B with rightwards arrow on top subscript 3 end subscript equals 2 stack i with hat on top minus 5 stack t with hat on top minus 12 stack k with hat on top
Where stack B with rightwards arrow on topis in milliteslas and t is in seconds. If the induced current in the loop due to stack B with rightwards arrow on top subscript 1 end subscript comma stack B with rightwards arrow on top subscript 2 end subscript text end textand stack B with rightwards arrow on top subscript 3 end subscriptare i subscript 1 end subscript comma i subscript 2 end subscript text  and  end text i subscript 3 end subscriptrespectively then

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i

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i

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