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A particle executes linear simple harmonic motion with an amplitude of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is
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√5 2π -
4π √5 -
2π √3 -
√5 π
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Correct Option: B
Given, Amplitude A = 3 cm
When particle is at x = 2 cm
According to question, magnitude of velocity = acceleration
ω √A² - x² = x ω2
√3² - 2² = 2 | ![]() | ![]() | ||
T |
√5 = | ⇒ T = | |||
T | √5 |