Q13 of 13 Page 35

A new system of units is proposed in which unit of mass is α kg, unit of length β m and unit of time s. How much will 5 J measure in this new system?

Let,

be the old units of mass, length and time. Also let be the new units of mass, length and time.


We know that the magnitude of physical quantity remains unchanged whatever may be the system of units.



Now, dimensions of Energy is.


So,


Thus,



(New units)


So, 5 J will measure in new units.


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