Home » Mechanics » Physical World, Units and Measurements » Question
  1. An equation is given as : p +
    a
    - b
    θ
    V2V

    where P = Pressure, V = Volume & θ = Absolute temperature. If a and b are constants, then dimensions of a will be
    1. [ML5T– 2]
    2. [M–1L5T2] ​
    3. ​[ML– 5T– 1]
    4. [ML5T1]
Correct Option: A

p +
a
= b
Q
V2V

According to the principle of homogeinity quantity with same dimension can be added or subtracted. ​
Hence, Dimension of P = Dimension of
a
V2

⇒ Dimension of
Force
= Dimension of
a
AreaV2

MLT-2
=
a
⇒ a = [M L5 T-2]
L2[L3]2



Your comments will be displayed only after manual approval.