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:
atoms are very small objects
Atoms are very small objects compared to a sugar cube.
a jet plane moves with great speed
A jet plane moves with great speed compared to a bicycle.
the mass of Jupiter is very large
The mass of Jupiter is very large compared to the mass of Earth.
the air inside this room contains a large number of molecules
The air inside this room contains a large number of molecules compared to the number of people in the room.
a proton is much more massive than an electron
A proton is much more massive than an electron. (No change needed, as it specifies a comparison).
the speed of sound is much smaller than the speed of light.
The speed of sound is much smaller than the speed of light. (No change needed, as it specifies a comparison).
Explanation
The provided context emphasizes that physical quantities require units (standards) for definition, such as 'unit of mass equals alpha kg'. This supports the idea that magnitude is relative. For statements (e) and (f), the context mentions that the 'ratio of similar physical quantities... has no dimensions', which validates that comparing a proton to an electron or sound to light are already specific, meaningful comparisons that do not require further reframing.