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Q.

The density of a material in SI units is $128 k g m^{- 3} .$ In certain units in which the unit of length is 25 cm and the unit of mass is 50g, the numerical value of density of the material is

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a

16

b

640

c

410

d

40

answer is D.

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Detailed Solution

$n_{1} u_{1} = n_{2} u_{2} 128 k g m^{- 3} = n_{2} 50 \times 10^{- 3} k g {(25 \times 10^{- 2})}^{- 3} n_{2} = 40$

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