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In a new system of units, unit of mass is 100 g, unit of acceleration is 2 m/s2 and unit of frequency is 4 sec-1, in this new system of units, then the value of 10 J in this new system is _______

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answer is 400.

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Detailed Solution

[ Energy ]=ML2T−2=ML2T−4T2=MLT-22T-2=Ma2f2, a- acceleration and f- frequencyn1u1=n2u2⇒n2=101kg0.1kg1m/s22m/s22×sec−14sec−1−2⇒n2=10×10×14×16⇒n2=400
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In a new system of units, unit of mass is 100 g, unit of acceleration is 2 m/s2 and unit of frequency is 4 sec-1, in this new system of units, then the value of 10 J in this new system is _______