A particle of mass m is executing the damped oscillations. Which of the following statements regarding the damped oscillations are true? 1. The amplitude of underdamped oscillations decays exponentially with time. 2. The trajectory of the particle executing the overdamped oscillations decreases monotonically to zero. 3. In overdamped oscillations, the particle overshoots the origin multiple times if the motion towards the origin is relatively quick. 4. The weak damping limit in the damped oscillations is →∞. Here, is the angular frequency of undamped oscillations and is relaxation time. Select the correct answer choice:
A particle of mass m is executing the damped oscillations. Which of the following statements regarding the damped oscillations are true? 1. The amplitude of underdamped oscillations decays exponentially with time. 2. The trajectory of the particle executing the overdamped oscillations decreases monotonically to zero. 3. In overdamped oscillations, the particle overshoots the origin multiple times if the motion towards the origin is relatively quick. 4. The weak damping limit in the damped oscillations is →∞. Here, is the angular frequency of undamped oscillations and is relaxation time. Select the correct answer choice:
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