(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

(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.

Class 11 Physics Units, Dimensions and Measurement Dimensions and Dimensional Formula

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

JEE MAIN 2022 All JEE MAIN

A
velocity gradient and decay constant
B
Wien's constant and Stefan constant
C
angular frequency and angular momentum
D
wave number and Avogadro number

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Units, Dimensions and Measurement

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Dimensions and Dimensional Formula

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

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