Identify the pair of physical quantities that have same dimensions :
- velocity gradient and decay constant
- wien’s constant and Stefan constant
- angular frequency and angular momentum
- wave number and Avogadro number
The Correct Option is A
Solution and Explanation
Velocity gradient
= \(\frac{dv}{dx}\)
⇒ Dimensions are
\(\frac{[LT-1]}{[L]}=[T-1]\)
Decay constant \(λ\) has dimensions of \([T^{–1}]\) because of the relation
\(\frac{dN}{dt} = -λN\)
⇒ Velocity gradient and decay constant have same dimensions.
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Concepts Used:
Speed and Velocity
The rate at which an object covers a certain distance is commonly known as speed.
The rate at which an object changes position in a certain direction is called velocity.
Difference Between Speed and Velocity:
Read More: Difference Between Speed and Velocity