Mathematics · Oscillations

An object of mass m undergoes small-amplitude oscillations in a potential field given by U(x) = U0(1 - cos(αx)), where U0 and α are constants. What is its time period of oscillation?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1πα√mU0
21α√mU0
32πα√mU0
42πα√mU0✓

Correct answer

2πα√mU0

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An object of mass m undergoes small-amplitude oscillations in a potential field given by U(x) = U0(1 - cos(αx)), where U0 and α are constants. What is its time period of oscillation?

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An object of mass m undergoes small-amplitude oscillations in a potential field given by U(x) = U0(1 - cos(αx)), where U0 and α are constants. What is its time period of oscillation?

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