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cse • paper_1 • waves_oscillationscse-2023-subject-02-005

Damped oscillations — UPSC CSE 2023 Physics PYQ

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Write equation for damped harmonic oscillations and obtain expression for logarithmic decrement. In a damped harmonic motion, the first amplitude is 10\text{ cm}, which reduces to 2\text{ cm} after 50 oscillations, each of period 4\text{ seconds}. Determine the logarithmic decrement. Also, calculate the number of oscillations in which the amplitude decreases to 25\%.

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