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Even if a physical quantity depends upon three quantities, out of which two aredimensionally same, then theformula cannot be derived by the method of dimensions. This statement(1) May be true (2) May be false(3) Must be true (4) Must be false

Question

Even if a physical quantity depends upon three quantities, out of which two aredimensionally same, then theformula cannot be derived by the method of dimensions. This statement(1) May be true (2) May be false(3) Must be true (4) Must be false

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Solution

The statement is (4) Must be false. The method of dimensions can be used to derive a formula even if a physical quantity depends on three quantities, two of which have the same dimensions. The principle of dimensional analysis states that the dimensions on the left and right side of an equation must be the same. Therefore, even if two quantities have the same dimensions, they can still contribute differently to the physical quantity depending on their placement and role in the equation.

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