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NEET2002PhysicsOscillationsActual

A mass is suspended separately by two different springs in successive order, then the time period is T₁ and T₂ , respectively. If it is connected by both spring as shown in figure, then the time period T₀ , so the correct reaction is:

Options

  1. AT₀^2=T₁^2+T₂^2
  2. BT₀⁻²=T₁⁻²+T₂⁻²
  3. CT₀⁻¹= T ₁⁻¹+ T ₂⁻¹
  4. DT₀=T₁+T₂

Correct answer

B. T₀⁻²=T₁⁻²+T₂⁻²

Step-by-step solution

Time period of spring T=2 m ~K aligned & K=4 ^2 m T^2 & K 1 T^2 aligned For parallel combination of spring K=K₁+K₂ aligned & 1 T₀^2 = 1 T₁^2 + 1 T₂^2 & T₀⁻²=T₁⁻²+T₂⁻² aligned

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