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Question

If minute is the unit of time, 10 ms2 is the unit of acceleration and 100 kg is the unit of mass, then the new unit of work in joule is:

A
106
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B
1106
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C
136×106
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D
36×106
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Solution

The correct option is D 36×106
Dimensional formula of work is ML2T2
Multiply and divide by T2

ML2T2T2T2 =ML2T4T2

The term L2T4=(LT2)2=a2 can be written as square of acceleration

Dimensional formula of work is same as that of Mass×(acceleration×T)2

Hence, new unit of work =100×(10×60)2
=36×106J

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