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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, which of the following statements are complete :
(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

When any dimensional quantity is to be specified as large or small, it should always be relative. For example, a person weighing 150 kg might be heavy for us, but compared to weight of earth, it is negligible.
The sentences which require re frame are as follows:
(a) Atoms are very small objects compared to normal objects like duster, watch etc.
(b) A jet moves with great speed compared to a train.
(c) The mass of Jupiter is much more than the mass of earth.
(d) The air inside the room contains more molecules than entire human population of earth.
(e), (f) are complete

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