Question

find the value of 60j per min on a system that has 100g 100cm and 1min as the base unit
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Answer 1

Answer:

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Explanation:

So we can say that let 60 joules per minute be n units. Hence we can say that the value of 60 J /min on a system which has 100 g, 100 cm and 1 min as a fundamental unit is $2.16 \times {10^6}$. So the correct answer is option A.

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Answer 2

$\large {\red {\bf {\underline {\underline {Step-by-Step \: Solution}}}:-}}$

We have to find the value of 60J/min, if 100g,100cm and 1min as base unit.

$Dimensions of power = ML^{2} T^{3}$

$e.g., S.I \: unit \: of \: Power = 1 \: Kg.m^{2} /s^{3} =( \frac{1kg}{100g} )⋅ \\ = \frac{(\frac{1m}{100cm})^{2}}{(\frac{1sec}{1min})^{3}} \\ \\ = (10) \times 1 \times {(60)}^{3} \\ \\ 2160000 = 2.16 \times {10}^{6} \\ \\ Now, \: 60J/min=60kg/m^{2}/s^{2} \: min=1Kg.m^{2} /s^{3} \\ \\ But \: 1kg.m^{2} /s^{3} =2.16×10^{6} unit \\ \\ so, \: value \: of 60J/min=2160000 or 2.16×10^{6}  unit$

$\huge\dag\sf\blue{By \: Divyanshu}$