Word Count : 394

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To solve the problem step by step: ### Given: - Amplitude \( A = 15 \, \text{cm} = 0.15 \, \text{m} \) - Number of oscillations = 100 - Time for 100 oscillations = 50 s - Initial phase \( \phi = \frac{\pi}{2} \) ### (i) Time period \( T \) and angular frequency \( \omega \) Time period \( T \) is the time taken for one complete oscillation: \[ T = \frac{\text{Total time}}{\text{Number of oscillations}} = _______ ______ ___ ______ ___ ________ __________ ________ _____.
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