The potential energy of a point particle is given by the expression V (x) = -\alpha x + \beta \sin(x / \gamma ). A dimensionless combination of the constants \alpha, \beta and \gamma is

KVPY SX SB Exam 2012 Question Paper

Question : 35 of 120

Marks: +1, -0

The potential energy of a point particle is given by the expression

V (x) = -α x + β \sin(x / γ )

. A dimensionless combination of the constants

α, β

and

γ

Solution:

[\α]=\MLT^{-2}

[\β]=\M\L^2\T^{-2}

[\γ]=\L

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