A particle of mass ' m ' moves in one dimension under the action of a conservative force whose potential energy has the form of U ( x ) = − x 2 + β 2 αx where α and β are dimensional parameters. The angular frequency of the oscillation is proportional to

Hint: U here, [ β ] [ α ] = − x 2 + β 2 αx = [ L ] = [ M 3 T − 2 ] only option (C) has dimension of T 1

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Physics - Unit & Dimension Question with Solution | TestHub

PhysicsUnit & DimensionMiscellaneousEasy2 minPYQ_2024

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A particle of mass ' $m$ ' moves in one dimension under the action of a conservative force whose potential energy has the form of $U (x) = - \frac{αx}{x ^{2} + β ^{2}}$ where $α$ and $β$ are dimensional parameters. The angular frequency of the oscillation is proportional to

Options:

Answer:

Solution:

$Hint: U here, [β] [α] = - \frac{αx}{x ^{2} + β ^{2}} = [L] = [M^{3} T^{- 2}]$ only option (C) has dimension of $\frac{1}{T}$

Stream:WBJEESubject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2024

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