State whether the following statements are true or false:

Dimensional equations are used to check the correctness of an equation.

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True

False

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Detailed Solution

Concept- The dimension formula expresses a physical quantity's unit in terms of the basic quantities. Mass (M), length (L), and time (T) are the fundamental units (T). An expression for a dimensional formula uses the powers of M, L, and T.
The dimension formula explains which fundamental quantities are present in the given physical quantity.
In square brackets, it is indicated. For instance, length is indicated as

Dimensional analysis can be used to determine how the powers of the physical quantities will change if we are aware of the physical quantities that are employed in the calculation. For instance, we can determine the powers of the basic quantities if we are aware that the velocity depends on both length and time.

now

can be calculated.
The fundamental nature of dimensional analysis means that it can only be used to determine whether a formula is right if it contains the sum of two quantities. If only one of those quantities is given.

Both are dimensionally accurate, however the formula used in the equation is incorrect.
Hence, the given statement is true.

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