Tuesday 21 May 2013

Explain this statement clearly " To call a dimensional quantity ‘large’ or ‘small’ is meaningless without specifying a standard for comparison”

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.
Answer:
The dimensional quantity depends on the unit (standard) of measurement. For example the distance between two points in a simple graph is measured in cm while distance between two cities is measured in kilometer
 (a) An atom is a very small object when we compare it with a cricket ball.
(b) A jet plane moves with a speed greater when we compare it with a motor bike.
(c) Mass of Jupiter is very large when we compare it with the mass of a coin.
(d) The air inside this room contains a large number of molecules when we compare it with the number of person present in our class.
(e) A proton is more massive than an electron. 
Mass of a protons is 1.67 × 10-24 g while mass of electron 9.11 × 10-28 g , hence statement is true

(f) Speed of sound is less than the speed of light. Speed of sound 346 m/ sec while speed of light is 3 x 108 m / sec in air at 25 0C hence statement is true.

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