Questions
If the unit of mass is kg, the unit of length is metre and the unit of time is ‘ ’ second, The magnitude of joule in the new system is (1cal=4.2J)
detailed solution
Correct option is B
Joule is the unit of energy/work and its dimensional formula is ML2T-2N1U1=N2U21 Joule =N2 new units1M1L12T1-2=N2 M2L22T2-21N2=M2M1L2L12T2T1-2 1N2=α KgKgβ metmet2γ secsec-2 N2=α−1β−2γ2 new unitsTalk to our academic expert!
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Length is measured in metre and time in second as usual. But a new unit of mass is so chosen that G = 1. This new unit of mass is equal to
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