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When a body is suspended from a fixed point by a spring, the angular frequency of its vertical oscillations is ₁ . When a different spring is used, the angular frequency is ₂ . The angular frequency of vertical oscillations when both the springs are used together in series is given by

Options

  1. A= [ ₁^2+ ₂^2 ]^ 1 / 2
  2. B= [ ( ₁^2+ ₂^2 ) / 2 ]^ 1 / 2
  3. C= [ ₁^2 ₂^2 / ( ₁^2+ ₂^2 ) ]^ 1 / 2
  4. D= [ ₁^2 ₂^2 / 2 ( ₁^2+ ₂^2 ) ]^ 1 / 2

Correct answer

C. = [ ₁^2 ₂^2 / ( ₁^2+ ₂^2 ) ]^ 1 / 2

Step-by-step solution

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