Respuesta :
Answer:
A) Mass = 1 × 10^(-15) kg
B) DNA length = 1.4 mm
Explanation:
A) We are given its mass as; mass = 1 × 10^(−12) g
Now we will convert it to kg.
From conversions, 1000 g = 1 kg
Thus;1 × 10^(−12) g = (1 × 10^(−12))/1000 = 1 × 10^(-15) kg
Mass = 1 × 10^(-15) kg
B) We are given its length to be 2 μm long.
So we will convert to m first then mm.
To convert to m, we know that μm = 10^(-6) m
Thus;
Length = 2 × 10^(-6) m
Also, from conversions, 1m = 1000 mm
Thus;
2 × 10^(-6) m will give;
2 × 10^(-6) × 1000 mm = 2 × 10^(-3) mm
Length = 2 × 10^(-3) mm
Also, we are told that DNA 700 times longer than its body length.
Thus,
DNA length = 700 × 2 × 10^(-3) mm = 1.4 mm
(a) the mass is 1×[tex]10^{-15}[/tex] kg
(b) length of the DNA in millimeters is 1.4 mm
(a) Given that the mass of the organism in grams is 1×[tex]10^{-12}[/tex] g
to convert it to kilograms we multiply it by [tex]10^{-3}[/tex] since 1 g = [tex]10^{-3}[/tex] kg
therefore mass = 1×[tex]10^{-12}[/tex] × [tex]10^{-3}[/tex] kg = 1×[tex]10^{-15}[/tex] kg
(b) according to the question, the DNA is 700 times the body length of the organism. the body length of the organism is 2×[tex]10^{-6}[/tex] m
so the length of DNA, let's say L = 700×2×[tex]10^{-6}[/tex] m
⇒ L = 14×[tex]10^{-4}[/tex]m
to convert it in millimeters we multiply it by [tex]10^{3}[/tex], since 1 m = [tex]10^{3}[/tex] mm
L = 14×[tex]10^{-4}[/tex] × [tex]10^{3}[/tex] mm = 1.4 mm
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