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A spring – mass system is hanging from the ceiling of an elevator in equilibrium. The elevator suddenly starts accelerating upwards with acceleration $5 m / s^{2} .$ If mass of the block is 1 kg and force constant of the spring is 1000 N/m, the amplitude of oscillation is

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10 mm

15 mm

5 cm

5 mm

answer is D.

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Detailed Solution

$Amplitude = \frac{m (g + a)}{k} - \frac{mg}{k} = \frac{ma}{k} = \frac{1 \times 5}{1000} \times 10^{3} mm = 5 mm$

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