A particle executes simple harmonic motion between x =- A and x =+ A . The time taken for it to move from x=0 to x= A 2 is T₁ and to move from x= A 2 to x= A 2 is T₂ . Then

Step-by-step solution

aligned & x=A t ...(1) & A 2 =A T₁...(2) & A 2 =A (T₁+T₂ ) aligned From eq. (1), T ₁= 6 From eq. (2), (T₁+T₂ )= 4 aligned & T₁+T₂ T₁ = 6 4 & T₁=2 T₂ aligned