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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

2×104 Units

b

2.16×1012 Units

c

2.16×1010 units

d

1.26×1012  Units

answer is C.

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Detailed Solution

Dimensional formula of power is ML2T-3

n1[M1L1 2T1 3]=n2[M2L2 2T2 3] 

106[kgm2s3]=n2[(10kg)(101m)2(60s)3]

106 Kgm2s-3=n210×10-2603Kgm2s-3

n2=216×1010=2.16×1012  new units.

 

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