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Which one of the following is dimensionless physical quantity?

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Important Questions on Units and Measurements

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The dimensional formula for moment of couple is
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The potential energy of a particle varies with distance x from a fixed origin as U=Axx2+B, where A and B are dimensional constants then dimensional formula for AB is
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From the following quantities, which one has the dimensions different from the remaining three?
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Which of the following relation cannot be deduced using dimensional analysis?
[the symbols have their usual meanings]
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The quantity which is dimensionless is
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Which of the following is not a base quantity?
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Which of the following is smallest unit of length?
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Which of the following is not a unit of energy?