Answer:
c) [tex]4.10^{6} cg[/tex]=40Kg
Step-by-step explanation:
To find the answer we have to put all the options in the same unit, so we are going to use Kg.
μ[tex]=1.10^{-6}[/tex]
Replacing the value of μ:
[tex]2500.1.10^{-6} g=\\ 2500.10^{-6} g[/tex]
Observation: 1 g = 0.001 Kg, 1 g=[tex]1.10^{-3}[/tex] Kg
[tex]2500.10^{-6} g=\\ =2500.10^{-6}.10^{-3}Kg\\=2500.10^{-9}Kg[/tex]
[tex]2500.10^{-9}Kg=0.000002500 Kg[/tex]
This number is very small so it's no suitable for weighing on an ordinary bathroom scale.
This value is already in kilograms,
[tex]5.10^{-4} kg=0,0005 Kg[/tex]
But it's small. It's not suitable for weighing on an ordinary bathroom scale.
Centigrams: cg=[tex]1.10^{-5} Kg[/tex]
Then,
[tex]4.10^{6} cg=4.10^{6}.10^{-5}Kg\\ =4.10^{1} Kg\\ =40 Kg[/tex]
This value it's suitable for weighing on an bathroom scale.
Decigrams: dg=[tex]1.10^{-4} Kg[/tex]
Then,
[tex]5,5.10^{8} dg=5,5.10^{8}.10^{-4}Kg\\ =5,5.10^{4} Kg\\ =55000 Kg[/tex]
This value is too big for a bathroom scale. Usually the limit for an ordinary bathroom scale is between 140-150 Kgs.
Miligrams: mg=[tex]1.10^{-6} Kg[/tex]
Then,
[tex]2,0.10^{7} mg=2,0.10^{7}.10^{-6}Kg\\ =2,0.10^{1} Kg\\ =20 Kg[/tex]
This could be a right answer too but it all depends on the scale. There are some scales whose minimum weight is 30Kg. So the right answer is c)
