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18 November, 16:27

All valid equations in physics have consistent units. Are all equations that have consistent units valid?

a. No. Any equation can be made to have consistent units through unit conversion.

b. Yes. Consistent units indicate that the equation was derived correctly.

c. No. An equation may have consistent units but still be numerically invaid.

d. Yes. In physics, consistent units guarantee that both sides of an equation represent the same physical quanity

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  1. 18 November, 18:46
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    c. No. An equation may have consistent units but still be numerically invaid.

    Explanation:

    For an equation to be corrected, it should have consistent units and also be numerically correct.

    Most equation are of the form;

    (Actual quantity) = (dimensionless constant) * (dimensionally correct quantity)

    From the above, without the dimensionless constant the equation would be numerically wrong.

    For example; Kinetic energy equation.

    KE = 0.5 (mv^2)

    Without the dimensionless constant '0.5' the equation would be dimensionally correct but numerically wrong.
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