1.

Explain this statement clearly : (i) To call a dimensionless quantity 'large' or 'small' is meningless without specifying a standard for comparison. (ii) in view of this, reword the following statements, where 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 constains a large number of moelcules (e ) A proton in much more massive than an electron (f) The speed of sound is much smaller then the speed of light.

Answer»

Solution :(i) the statement is true. This is becaue a DIMENSIONLESS quantity can be LARGE or small only in comparison
to some standerd. For example angle is dimensionless. `/_theta = 60^@` is LARGER then `/_ theta =30^@`, but smaller then
`/_theta = 90^@`
(ii) (a) The size of an atom is smaller then the sharp tip of a pin.
(b) A jet plane moves faster is very then a superfast train.
(c ) the mass of jupiter is very large COMPARED to the mass of EARTH.
(d) The air inside theis room contains more number of molecules then in one mole of air.
(e ) The statement is already correct (f) the statement is already correct.


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