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Question

In a new system of units, unit of mass is 10 kg, unit of length is 1 km and unit of time is 1 minute. The value of 1 joule in this new hypothetical system is :

A
3.6×104 new units
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B
6×107 new units
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C
1011 new units
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D
1.67×104 new units
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Solution

The correct option is A 3.6×104 new units
Units of Joule are ML2T2=kgm2s2

n2=n1[M1M2][L1L2]2[T1T2]2

=1[1kg10kg][1m1km]2[1s1min]2
=1[110][11000]2[160]2=3.6×104units

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