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The dimensional formula of the product o...

The dimensional formula of the product of two physical quantities P and Q is `ML^2 T^(-2)`. The dimensional formula of `P//Q` is `ML^0 T^(-2)`. Then what are the units of physical quantities P and Q.

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To solve the problem, we need to find the units of two physical quantities \( P \) and \( Q \) given their dimensional formulas for their product and their ratio. ### Step 1: Understand the Given Information We are given: 1. The dimensional formula of the product \( P \times Q \) is \( [P \times Q] = ML^2 T^{-2} \). 2. The dimensional formula of the ratio \( \frac{P}{Q} \) is \( \left[\frac{P}{Q}\right] = ML^0 T^{-2} \). ### Step 2: Set Up the Dimensional Formulas ...
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AAKASH SERIES-UNITS AND MEASUREMENT-PRACTICE EXERCISE
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  2. The ratio of S.I unit of the C.G.S unit of gravitational constant 'G' ...

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  3. If units in two systems of measurments are in the ratio 2 : 3, the rat...

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  4. If the unit of length is 4 m and that of velocity is 6 ms^(-1) , the u...

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  6. If the unit of length , mass and time each be doubled , the unit of wo...

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  7. A new unit of length is chosen such that the speed of light is vacuum ...

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  10. The reverberation period T of a room on its volume V, its surface area...

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  15. If C the velocity of light, h planck's constant and G Gravitational co...

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  16. If m is the mass of drop of a liquid of radius 'r' then (mg)/(pi r) ha...

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  17. The dimensionally correct formula is

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  19. According to Bernoullis theoram p/d + (v^2)/2 + gh = constant, dimensi...

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  20. If R is the electric resistance and C is the capacitance, the dimensio...

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