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Given blow are two statements: Statement I : In damped oscillation amplitude of the particle decreases exponentially with time. Statement II : In forced oscillation amplitude of a particle can maintained constant with time. In light of above statement choose the most appropriate answer from the options given below:

Options

  1. ABoth statement I and statement II are correct.
  2. BStatement I is correct and statement II is incorrect.
  3. CStatement I is incorrect and statement II is correct.
  4. DBoth statements I and statements II are incorrect.

Correct answer

A. Both statement I and statement II are correct.

Step-by-step solution

- Statement I: In damped oscillation, the amplitude of the particle decreases exponentially with time. This is correct because, in damped oscillations, resistive forces (such as friction or air resistance) cause the amplitude to decrease exponentially as energy is gradually lost from the system. - Statement II: In forced oscillation, the amplitude of a particle can be maintained constant with time. This is also correct because, in forced oscillation, an external periodic force is applied to the system. If the frequ

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