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Question

Explain this statement clearly : “To call a dimensional quantity ‘large’ or ‘small’ is meaningless without specifying a standard for comparison”. In view of this, reframe the following statements wherever necessary : (a) atoms are very small objects (b) a jet plane moves with great speed (c) the mass of Jupiter is very large (d) the air inside this room contains a large number of molecules (e) a proton is much more massive than an electron (f) the speed of sound is much smaller than the speed of light.

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Solution

An object is said to be large or small when it is compared by the some other standard object of the same type. For example, the size of a ship is very large as compared to the size of a bicycle. The comparison of following statement in their reframe is:

(a). Atoms are very small in comparison to a tennis ball.

(b) A jet plane moves with great speed in comparison to the bicycle.

(c) The mass of Jupiter is very large in comparison to the mass of a bob of a simple pendulum.

(d) The air inside the room contains a larger number of molecules in comparison to the number of molecules in a small box.

(e) a proton is much more massive than an electron in comparison to the difference in the mass of a basketball and baseball.

(f) the speed of sound is much smaller than the speed of light in comparison to the difference between the speeds of a bicycle and that speed of a car.


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