A new system of units is proposed in which unit of mass is kg unit of length is m and unit of time is s How much will 5 J measure in this new system Physics Cbse class 11

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## A new system of units is proposed in which unit of mass is α kg, unit of length is β m and unit of time is γ s. How much will 5 J measure in this new system? -Physics Cbse class 11

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

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Unit of mass  =  α   kg
unit of length =  β   meters
unit of time   =  γ   seconds

=>  1 unit of new Energy unit = [ M L² T⁻² ]
= α β² / γ²     kg m² / sec²
= α β² / γ²  Joules
SO 5 Joules  will measure  :    5 γ² / (αβ²)    units.

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