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Physics - Unit & Dimension Question with Solution | TestHub

PhysicsUnit & DimensionMiscellaneousMedium2 minPYQ_2024

PhysicsMediumsingle choice

A force defined by $F = α t^{2} + βt$ acts on a particle at a given time $t$ . The factor which is dimensionless, if $α$ and $β$ are constants, is:NEET 2024

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From principle of homogeneity $[F] = [α t^{2}] = [βt] [α] = \frac{[ F ]}{[ t ^{2} ]} and [β] = \frac{[ F ]}{[ t ]} ∴ [α] [t] = [β] ∴ \frac{α t}{β} = dimensionless$

Stream:NEETSubject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2024

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