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Questions  

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 γs. What will be value of 5J in this new system?

a
5αβ2γ−2
b
5α−1β−2γ2
c
5α−2β−1γ−2
d
5α−1β2γ2

detailed solution

Correct option is B

Joule is a unit of energy.Dimensional formula of energy is ML2T−2. Comparing with MaLbTc, we get a=1,b=2,c=−2As n2=n1M1M2aL1L2bT1T2c=51kgαkg′1mβm21sγs−2=5γ2αβ2=5α-1β-2γ2

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