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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Work, Power and Energy

Olympiad workbook · NSEP · Work, Power and Energy

A particle of mass m is located in a one dimensional potential...

A particle of mass

m

is located in a one dimensional potential field

U(x)=U_0(1-\cos a x)

;

\mathrm{U}_0

and a are constants. Which of the following statement/s is/are correct?

Options

AThe particle will execute Simple Harmonic Motion for small displacements.
BThe stable equilibrium condition is $x=0$
CThe time period of small oscillations is $\frac{2 \pi}{a} \sqrt{\frac{m}{U_0}}$
DThe angular frequency for small oscillations is $\omega=a \sqrt{\frac{U_0}{m}}$

Correct answer

D. The angular frequency for small oscillations is $\omega=a \sqrt{\frac{U_0}{m}}$

Step-by-step solution

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