A particle executes SHM with a time period T. If its maximum velocity is v_max and maximum acceleration is a_max, what is the ratio of their amplitudes of acceleration to velocity?
Correct: A
In SHM, the maximum velocity is v_max = Aω and maximum acceleration is a_max = Aω². The ratio a_max/v_max = ω = 2π/T. Since ω = √(a_max/v_max²), the ratio of amplitudes (Aω/Aω²) gives 1/ω. Hence, the ratio is a_max / v_max.