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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 particle depends on the x-coordinate given by `U_(x)=k(1-cos ax)` & k and 'a' are constant. Find the physical dimensions of `'a' & k `.

Text Solution

Verified by Experts

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

  • The potential energy of a particle from a distance x from an origin, changes according to the formula U=(Asqrtx)/(x+B) where A and B are constant so the dimension of AB=……

    A
    `M^(1)L^(5/2)T^(-2)`
    B
    `M^(1)L^(2)T^(-2)`
    C
    `M^(3/2)L^(3/2)T^(-2)`
    D
    `M^(1)L^(7/2)T^(-2)`

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