HSC Science (Electronics) 12th Board ExamMaharashtra State Board
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# The Periodic Time of a Linear Harmonic Oscillator is 2π Second, with Maximum Displacement of 1 Cm. - HSC Science (Electronics) 12th Board Exam - Physics

ConceptPeriodic and Oscillatory Motions

#### Question

The periodic time of a linear harmonic oscillator is 2π second, with maximum displacement of 1 cm. If the particle starts from extreme position, find the displacement of the particle after π/3  seconds.

#### Solution

Given:-

a=1cm,t=pi/3s,omega=(2pi)/T=(2pi)/(2pi)=1

To find: Displacement (x)

Formula: x = A cos ωt

Calculation: From formula,

"x"=1cos(1xxpi/3)=cos(pi/3)

therefore"x"=0.5cm

The displacement of the particle after π/3 seconds is 0.5 cm.

Is there an error in this question or solution?

#### APPEARS IN

2014-2015 (October) (with solutions)
Question 3.4 | 2.00 marks

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Solution The Periodic Time of a Linear Harmonic Oscillator is 2π Second, with Maximum Displacement of 1 Cm. Concept: Periodic and Oscillatory Motions.
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