a new system of units is proposed in which unit of mass is alpha kg, unit of length beta m and unit of time gamma s. How much will 5J 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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