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Explain this statement clearly : "To c...

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.

Text Solution

Verified by Experts

i) The statement is true. This is because a dimensionless quantity can be large or small only in comparison to some standard.
For example, angle is dimensionless `angletheta=60^(@)` is larger than `angletheta=30^(@)`, but smaller than
`angletheta=90^(@)`
ii) a) The size of an atom is smaller than the sharp tin of a pin.
b) A jet plane moves faster than a superfast train.
c) The mass of Jupiter is very large compared to the mass of earth.
d) The air inside this room contains more number of molecules than in one mole of air.
e) The statement is already correct.
f) The statement is already correct.
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