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Q.

In a given system of unit standard measurement of mass is $100 gm$ , standard measurement of length is $200 cm$ and standard measurement of time is $5 \sec$ . $10 J$ energy in the given system of unit has value $N$ , then value of $N$ is _____.

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answer is 625.

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Detailed Solution

$[E] = {ML}^{2} T^{- 2} K_{2} = K_{1} {[\frac{M_{1}}{M_{2}}]}^{1} {[\frac{L_{1}}{L_{2}}]}^{2} {[\frac{T_{1}}{T_{2}}]}^{- 2} = 10 [\frac{1 kg}{100 gm}] {[\frac{1 m}{200 cm}]}^{2} {[\frac{1 \sec}{5 \sec}]}^{2} = 10 \times 10 \times \frac{1}{4} \times 25 = 625$

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