Question 152: Units , Dimensions and Error Analysis

Question

Identify the pair of physical quantities that have same dimensions:

Accepted Answer

Velocity gradient $ = {{dv} \over {dx}}$
$\Rightarrow$ Dimensions are ${{[L{T^{ - 1}}]} \over {[L]}} = [{T^{ - 1}}]$
Decay constant $\lambda$ has dimensions of $[{T^{ - 1}}]$ because of the relation ${{dN} \over {dt}} =  - \lambda $ N
$\Rightarrow$ Velocity gradient and decay constant have same dimensions.

Answer

velocity gradient and decay constant

Answer

Wien's constant and Stefan constant

Answer

angular frequency and angular momentum

Answer

wave number and Avogadro number

Units , Dimensions and Error Analysis

Identify the pair of physical quantities that have same dimensions:

Choose the correct answer: