Question

Is dimensionally correct equation necessarily be a correct physical relation? What about dimensionally wrong equation? ​

Answer 1

Thanks for asking this question!

Here is your solution:

A dimensionally correct equations need not be necessarily correct physical relation.

A dimensionally wrong equation is not correct mathematically too.

Pls feel free to ask more doubts

Answer 2

Answer:

A dimensionally correct equation need not to be actually correct, but dimensionally incorrect equation is necessarily wrong.

Explanation:

Solution:

A dimensionally correct equation need not be actually correct.

Example:

V^2=2as

Dim of V^2 =[L^1T^-1]^2

                 =L^2T^-2

Dim of 2as =[L^1T^-2][L]

                 =L^2T^-2

So, the dimension is same but actual equal is V^2=U^2+2as.

Dimensionally incorrect equation is necessarily wrong.

1/2mv=mgh

Dim of mv=[M^1L^1T^-1]

Dim of mgh =[M^1L^1T^-2][L^1]

                   =[M^1L^2T^-2]

So,1/2mv≠mgh

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