Question

"Velocity can not be added to temperature ".
A) This is in accordance with which law of physics?
B)Check the dimensional correctness of the equation PV=Fx where P is the pressure,V is volume,F is force and x is displacement.

Answer 1

Answer:

(a) Principle of homogenity

(b)PV=Fx  =ML²T⁻²

Explanation:

a) Principle of homogeneity: Principle of Homogeneity states that dimensions of each of the terms of a dimensional equation on both sides should be the same.

Dimension of velocity=LT⁻¹

Dimension of temperature=K(Kelvin)

According to homogenity principle dimensions on both sides should be same. But here it is wrong.

b) PV = Fx

Dimension of PV = work done

∴ PV =ML²T⁻²................................(1)

Dimension of Fx = ML²T⁻²...............................(2)

(1)==(2)

Hence the equation is correct.

Answer 2

Explanation:

"Velocity can not be added to temperature"

this statement is according to the "Principle of

"Principle of homogenity of dimension".

This law states that dimension of each of the terms of

a dimensional equation on both sides should be the

same.

Given equation,

PV = Fx

P = F/A

= (M × L × T^-2)/L^2

= M × L^-1 × T^-2

V = L^3

F = M × L × T^-2 (where,F=m×a)

(a=v/t==LT^-1/T)

(a=LT^-2)

(so F=MLT^-2)

X = L

M × L^-1 × T^-2 × L^3 = M × L × T^-2 × L

M × L^2 × T^-2 = M × L^2 × T^-2.

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