Question

Velocity cannot be added to temperature this is in accordance with which law of physics

Answer 1

Answer:

Velocity cannot be added to temperature this is by the Principle of homogeneity.

Explanation:

Principle of homogeneity: The principle of Homogeneity states that the 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 the homogeneity principle dimensions on both sides should be identical. But here it is wrong.

Therefore, the Velocity cannot be added to temperature this is by the Principle of homogeneity.

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Answer 2

Answer:

Velocity cannot be added to temperature, in accordance with the Law/Principle of homogeneity.

Explanation:

As we have learnt before, the Principle of Homogeneity states that, in a dimensional equation, the dimensions of each of the terms have to be the same. Only in that case can arithmetic operations be performed upon the values of the terms.

However, we know that the Dimensions of Velocity are $LT^-^1$
and the Dimensions of Temperature are $K$.

Thus, the dimensions of the 2 quantities are non-identical, and so, can't be added.
We can also recollect that not only addition, but no other arithmetic operation can be performed on their values, either.

Thus, two quantities with non-identical dimensions, like temperature and velocity, can't be added due to the Principle of Homogeneity.

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