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MHT CET202019 Oct 2020Morning ShiftPhysicsOscillationsActual

A body performing simple harmonic motion has potential energy ' P ₁ ^ at displacement ' x₁ '. Its potential energy is ' P ₂ ' at displacement ' x₂ '. The potential energy 'P' at displacement (x₁+x₂ ) is

Options

  1. AP ₁+ P ₂
  2. BP ₁ P ₂
  3. CP ₁²+ P ₂²
  4. DP ₁+ P ₂+2 P ₁ P ₂

Correct answer

D. P ₁+ P ₂+2 P ₁ P ₂

Step-by-step solution

(B) aligned P &= 1 2 k (x₁+x₂ )² &= 1 2 k (x₁²+x₂²+2 x₁ x₂ ) &= 1 2 k x₁²+ 1 2 k x₂²+2 ( k 2 x ) ( k 2 x₂ ) &=P₁+P₂+2 P₁ P₂ aligned

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