Physics - Unit & Dimension Question with Solution | TestHub

PhysicsUnit & DimensionMiscellaneousMedium2 minQB

PhysicsMediumsingle choice

The time dependence of a physical quantity p is given by $p = p_{0} e^{- α t^{2}}$ where $α$ is constant and t is time. The constant $α$

Answer:

Solution:

The exponent of e must be dimensionless, so $α t^{2}$ is dimensionless.

$[α] = \frac{1}{[ t ^{2} ]} = T^{- 2}$

Correct option: (B)

Subject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: QB

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