Q. How is dimensional homogeneity related with fundamental units of measurements?

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Q. What is the time period of oscillation of a simple pendulum of length L and mass m?

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Q. The principle of dimensional homogeneity serves the following useful concepts

(i) It helps to check whether an equation of any physical phenomenon is dimensionally homogenous or not
(ii) It helps to determine the dimensions of a physical quantity
(iii) It helps to convert the units from one system to another

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Q. The equation of friction loss in a pipe of length l and diameter d through which fluid flows with velocity v is

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Q. Bernoulli’s equation for fluid flow along a stream line is given as

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Q. The convective film coefficient in k cal/m² hr degree can be converted to J/m² s degree by multiplying it with a factor

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Q. The pressure in kg/cm² can be converted to N/m² by multiplying it with a factor

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Q. How many Newton’s are there in one kg?

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Q. How many Joule are there in 1 k cal?

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Q. How many fundamental quantities are there?

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Q. What is the dimension of coefficient of volumetric expansion?

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Q. What is the dimension of convective film coefficient?

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Q. What is the dimension of velocity?

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Q. What is the dimension of area?

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Q. What is the dimension of volume?

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Q. What is the dimension of work?

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Q. What is the dimension of temperature?

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Q. What is the dimension of mass?

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Q. What is the dimension of length?

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Q. What is the dimension of time?

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