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Physical Quantities

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A: All physically correct equations are dimensionally correct.R: All dimensionally correct equations are physically correct

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Q. Using dimension verify the corrections of a physical equation

S = u t + \frac{1}{2} {a t}^{2}

Q. Choose the correct statements(s):
(a) A dimensionally correct equation may be correct.
(b) A dimensionally correct equation may be incorrect.
(c) A dimensionally incorrect equation may be correct.
(d) A dimensionally incorrect equation may be incorrect.

Q. I read that
S=Ut+1/2(at)²
Is dimensionally correct and physically wrong.
Could you explain what is the meaning behind
the term 'physically'?

How the following equations are dimensionally correct -

[F]=G Mm/r^2

And

V^2 - u^2=2as

Q. Test which of the following equations are dimensionally correct. (

S

= surface tension, 𝜌 = density,

P

V

η

= coefficient of viscosity, 𝑟 = radius,

v

= velocity, 𝑡 = time, 𝑙 = length,

H

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