SESSION 2019 PCPH003 ÉPREUVE SPÉCIFIQUE - FILIÈRE PC ____________________ PHYSIQUE Mardi 30 avril : 8 h - 12 h ____________________ N.B. : le candidat attachera la plus grande importance à la clarté, à la précision et à la concision de la rédaction. Si un candidat est amené à repérer ce qui peut lui sembler être une erreur d’énoncé, il le signalera sur sa copie et devra poursuivre sa composition en expliquant les raisons des initiatives qu’il a été amené à prendre. ___________________________________________________________________________________ ( ) ∂ = ∂ ∂ ∂ −∂ ∂ −∂ = − ⋅ = − ⋅ = − ⋅ ε = ⋅ − ⋅ = = ∂ ∂ ∂ ∂ −∂ ⋅ ⋅ − ⋅ ⋅ − ⋅ − ⋅ − ( α α = ( = )= ⋅ () ( θ ( ) = ( )⋅ ) ∞ θ ϕ θ ε →+∞ = ( )= ε ⋅ ⋅π ⋅ ε ) α ( α ) = ⋅ + ⋅ • θ= θ ( α ) • θ α ϕ ϕ α θ • θ θ α →∞ →+∞ ϕ = ⋅ ϕ ϕ− =− ⋅ ϕ α ϕ ⋅ ϕ= ⋅ θ ( ) ≈ϕ ⋅ ϕ ϕ ϕ = α ϕ ⋅ ϕ α ⋅ + ϕ ϕ ϕ − θ θ θ θ = ⋅ θ= ( ) ( ε ( )= ( ) ⋅ ε ) ( )= ω ⋅ ⋅ ⋅π ⋅ ε ⋅ ω ( )= ⋅ ⋅ = = ⋅ = ⋅ ⋅π ∈ = =− ⋅π ⋅ε = ⋅ ⋅ ε λ ⋅π ⋅ ε ⋅ ⋅ =− ε λ ⋅ = − > λ λ λ ( ) = ⋅ ( ( ) ) Ω γ =γ ⋅ γ θ ( ) ( )= ( Γ( ) = ∧ ( )⋅ ω =ω⋅ =ω∧ ) θ = = ∆ ∆ ∆ ⋅ ⋅ Ω = ( ( ∂ ∂ ) = = ∂ ∂ = = ⋅ ) ∆ ( = )= ∂ ⋅ ∂ ( ⋅ = + ) ∂ ⋅ ∂ ( ⋅ = ) ( = ∂ ⋅ ∂ ( )= ⋅ = ( ) λ +µ ⋅ µ = ⋅ ⋅π ⋅ ∆λ −µ ⋅ = ) ∆ =µ ⋅ ∆ = = ⋅ ≈ λ θ θ θ θ θ δ θ δ= ⋅ ⋅ ϕ θ δ θ θ θ ϕ (ϕ ) = ⋅ + = ⋅ ϕ ⋅ (ϕ ) ∆ϕ ∆ϕ = ⋅( − ) (ϕ ) (ϕ ) (ϕ ) ∆ϕ ρ ∆ρ ∆ρ = ∆ϕ ⋅ λ⋅ ⋅π ⋅ ⋅ ρ ∆ρ ρ ρ ∆λ ∆λ ≥ λ ⋅ ⋅ ⋅ = θ π⋅ − ∆λ ( )=− ⋅π ⋅ε ⋅ − ⋅ ⋅ ∆ϕ ϕ ( ) + ( ) ⋅ϕ ( ) = ⋅ϕ () ∆ ϕ ϕ () () = π⋅ ⋅ − ϕ ( ) = π ⋅( ) ⋅ − ⋅ ϕ π ⋅( ) ( ) () ε ∆ ( )= ⋅ ( )= ⋅ ( ) ( ) ⋅ ⋅ − ⋅ = 0 1 2 3 4 5 6 ⋅ I M P R I M E R I E N A T I O N A L E – 19 1151 – D’après documents fournis
