Q. 7
From the following combinations of physical constants (expressed through their usual symbols) the only combination, that would have the same value in different systems of units, is :
Your Answer:
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
The combination of physical constants that will have the same value in different systems of units should be a dimensionless quantity, since dimensions are something that change the magnitude of a particular quantity.
Form Newton's law of gravitation and Coulomb's law of forces on charges,
Now, Observing the above expressions suggests that, the dimensions of are that of
Also, the dimensions of Gm2 are that of Nm2. Hence, we conclude that a division of these quantities will be a dimensionless quantity and its value will not change depending on the system of units chosen.
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