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Q.

If unit of length, mass and time each be doubled, the unit of work done is increased by

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a

8 times

b

4 times

c

6 times

d

2 times

answer is D.

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Detailed Solution

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

given $M_{2} = 2 M_{1}, L_{2} = 2 L_{1}, T_{2} = 2 T_{1}$

$∴ n_{2} = n_{1} {[2]}^{1} {[2]}^{2} {[2]}^{- 2} = 2 n_{1}$

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