Q5 of 35 Page 8

If two quantities have same dimensions, do they represent same physical content?

Two physical quantities have same dimension but they can have different units. 5 meter,5 cm,5mm all have dimensions as length [L], but different unit and different magnitude values


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3

Suppose you are told that the linear size of everything in the universe has been doubled overnight. Can you test this statement by measuring sizes with a meter stick? Can you test it by using the fact that the speed of light is a universal constant and has not changed? What will happen if all the clocks in the universe also start running at half the speed?

 4

If all the terms in an equation have same units, is it necessary that they have same dimensions? If all the terms in an equation have same dimensions, is it necessary that they have same units?

 6

It is desirable that the standards of units be easily available, invariable, indestructible and easily reproducible. If we use foot of a person as a standard unit of length, which of the above features are present and which are not?

 7

Suggest a way to measure:

A. the thickness of a sheet of paper,


B. the distance between the sun and the moon.