Physics-
General
Easy

Question

The A.C. circuit shown in figure. Find the frequency (omega subscript 0 end subscript) of the AC voltage source so that current through the source will be in same phase as of voltage of source.

  1. omega subscript 0 end subscript equals square root of fraction numerator 1 over denominator L C end fraction plus fraction numerator R to the power of 2 end exponent over denominator L to the power of 2 end exponent end fraction end root    
  2. omega subscript 0 end subscript equals square root of fraction numerator 1 over denominator L C end fraction minus fraction numerator R to the power of 2 end exponent over denominator L to the power of 2 end exponent end fraction end root    
  3. omega subscript 0 end subscript equals fraction numerator 1 over denominator square root of L C end root end fraction    
  4. omega subscript 0 end subscript equals square root of fraction numerator 1 over denominator L C end fraction plus fraction numerator R to the power of 2 end exponent over denominator 4 L end fraction plus fraction numerator R over denominator 2 L end fraction end root    

The correct answer is: omega subscript 0 end subscript equals square root of fraction numerator 1 over denominator L C end fraction minus fraction numerator R to the power of 2 end exponent over denominator L to the power of 2 end exponent end fraction end root

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