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.
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.
The given
statement is true because a dimensionless quantity may be large or
small in comparision to some standard reference. For example, the
coefficient of friction is dimensionless. The coefficient of sliding
friction is greater than the coefficient of rolling friction, but
less than static friction.
(a) An
atom is a very small object in comparison to a soccer ball.
(b) A jet
plane moves with a speed greater than that of a bicycle.
(c) Mass
of Jupiter is very large as compared to the mass of a cricket ball.
(d) The air inside this room contains a large number of molecules as
compared to that present in a geometry box.
(e) A
proton is more massive than an electron.
(f) Speed
of sound is less than the speed of light.
The given statement is true because a dimensionless quantity may be large or small in comparision to some standard reference. For example, the coefficient of friction is dimensionless. The coefficient of sliding friction is greater than the coefficient of rolling friction, but less than static friction.
(a) An atom is a very small object in comparison to a soccer ball.
(b) A jet plane moves with a speed greater than that of a bicycle.
(c) Mass of Jupiter is very large as compared to the mass of a cricket ball.
(d) The air inside this room contains a large number of molecules as compared to that present in a geometry box.
(e) A proton is more massive than an electron.
(f) Speed of sound is less than the speed of light.
