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Q.

In a new system of units, the unit of mass is 100 g, unit of length is 4 m and unit of time is 2 s. The numerical value of 10 J in this system is ________

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answer is 25.

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Detailed Solution

[ Energy ]=ML2T−2 In new system  1 unit of energy  =(1 unit mass )( 1 unit length )2(1 unit time )2=1001000kg(4m)2(2sec)2=410kgm2/s2=410J Now 410J=1 unit energy in new system ⇒1J=104unit energy in new system⇒10J=1004 unit =25 units
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