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Q.

Imagine a system of unit in which the unit of mass is 10 kg, length is 1 km and time is 1 min. Then, 1 J in this system is equal to $n \times 10^{- 4} units .$ Then, n = ...........

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Detailed Solution

$n_{2} = n_{1} [\frac{M_{1}}{M_{2}}] {[\frac{L_{1}}{L_{2}}]}^{2} {[\frac{T_{1}}{T_{2}}]}^{- 2}$

$= 1 [\frac{1 kg}{10 kg}] {[\frac{1 m}{1 km}]}^{2} {[\frac{1 s}{1 \min}]}^{- 2}$

$= 1 [\frac{1}{10}] {[\frac{1}{1000}]}^{2} {[\frac{1}{60}]}^{- 2} = 3.6 \times 10^{- 4} units$

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