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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