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Q.

An object is attached to the bottom of a light vertical spring and set vibrating. The maximum speed of the object is 15 cm / sec and the period is 628 m sec. The amplitude of the motion in centimeter is

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a

3

b

2

c

1.5

d

1.0

answer is C.

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Detailed Solution

$\begin{array}{l} V_{max} = A ω \Rightarrow 15 = A \times \frac{2 π}{628 \times 10^{- 3}} \\ = A \times \frac{2 \times 3 .14}{6 .28 \times 10^{- 1}} \Rightarrow A = 15 \times 10^{- 1} cm \\ A = 1 .5 cm \end{array}$

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An object is attached to the bottom of a light vertical spring and set vibrating. The maximum speed of the object is 15 cm / sec and the period is 628 m sec. The amplitude of the motion in centimeter is