Q.
Conversion of 1MW power in a new system of units having basic units of mass, length and time as 10kg, 0.1m and 1 minute respectively is
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a
2.16×1010 units
b
2×104 Units
c
2.16×1012 Units
d
1.26×1012 Units
answer is C.
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Detailed Solution
Dimensional formula of power is ML2T-3n1[M1L1 2T1 −3]=n2[M2L2 2T2 −3] 106[kgm2s−3]=n2[(10kg)(10−1m)2(60s)−3]106 Kgm2s-3=n210×10-2603Kgm2s-3n2=216×1010=2.16×1012 new units.
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