Question

If P = a + b/v then find the dimension of a and b. V where P is pressure and V is volume
and explain dimension?​

Answer 1

Answer:

it is given that,

we have to find the dimension of a and b.

we know, dimension of Pressure, P = [ML-¹T-²]

dimension of volume , V = [L³]

from dimensional analysis,

dimension of P = dimension of (a/V²)

or, dimension of P = dimension of a/dimension of V²

or, dimension of P × dimension of V² = dimension of a

or, dimension of a = [ML-¹T-²][L³]² = [ML^5T^-2]

hence, dimension of a =

again, dimension of V = dimension of b

or, [L³] = dimension of b

hence, dimension of b = [L³]