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(A) The dimension of velocity gradient is $[T^{-1}]$.The decay constant $\lambda$ is defined by the relation $N = N_0 e^{-\lambda t}$,which implies th

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velocity gradient and decay constant

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(A) The dimension of velocity gradient is $[T^{-1}]$.The decay constant $\lambda$ is defined by the relation $N = N_0 e^{-\lambda t}$,which implies that $\lambda t$ is dimensionless. Thus,the dimension of the decay constant is $[T^{-1}]$.Since both velocity gradient and decay constant have the same dimensions $[T^{-1}]$,option $A$ is correct.

Identify the pair of physical quantities that have the same dimensions.

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