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A particles is in a unidirectional poten...

A particles is in a unidirectional potential field where the potential energy (U) of a partivle depends on the x-coordinate given by `U_(x)=k(1-cos ax)` & and 'a' are constant. Find the physical dimensions of 'a' & k.

Text Solution

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The correct Answer is:
`L^(-1),ML^(2)T^(-2)`
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Knowledge Check

  • A particle of mass m is located in a one dimensional potential field where potential energy is given by : V(x) = A(1 – cos px), Where A and p are constant. The period of small oscillations of the particle is :

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    D
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    B
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    C
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    A partical of mass m is located in a unidimensionnal potential field where potentical energy of the partical depends on the coordinates x as U (x) = (A)/(x^(2)) - (B)/(x) where A and B are positive constant. Find the time period of small oscillation that the partical perform about equilibrium possition.

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