Question

A hydrogen atom has a diameter of about 10 nm. Express this diameter in micrometers, meters, and millimeters.

Answer 1

1) 1 nm = 0.001 µm; one nanometer is equal to 0.001 (10⁻³) micrometer.

d(H) = 10 nm; diameter of hydrogen atom.

d(H) = 10 nm · 0.001 µm/nm.

d(H) = 0.01 µm = 10⁻² µm.

2) 1 nm = 10⁻⁹ m ; one meter is equal to 0.0000000001 (10⁻⁹) meter.

d(H) = 10 nm.

d(H) = 10 nm · 10⁻⁹ m/nm.

d(H) = 0.00000001 m = 10⁻⁸ m.

3) 1 nm = 10⁻⁶ mm ; one nanometer is equal to 0.000001 (10⁻⁶) millimeter.

d(H) = 10 nm · 10⁻⁶ mm/nm.

d(H) = 0.00001 mm = 10⁻⁵ mm.

Answer 2

A diameter of A hydrogen atom 10 nm in micrometers, meters, and millimeters :  10⁻²  μm, 10⁻⁸  m,10⁻⁵ mm

Further explanation

Magnitude is something that can be measured or counted

The principal amount is the amount that has been determined based on the agreement of the scientists

Derivative magnitude is a quantity derived from the principal amount

There are 7 main quantities that have been determined based on international standards, namely:

• 1. Length, meters (m)
• 2. Time, second (s)
• 3. Mass, kilograms (kg)
• 4. Temperature, kelvin (K)
• 5. Light intensity, candela (cd)
• 6. Electric current, ampere (A)
• 7. Amount of substance, mol (m)

The length of the principal is to indicate the distance between two points in a place

The symbol is usually expressed in l, length

Length measurement can be used by several measuring instruments such as ruler, caliper length, meter, screw micrometer

The main length unit consists of 7 units other than other units of length such as inches, miles, yards, feet:

• Kilometer, km
• Hectometer, hm
• Dekameter, dam
• Meter, m
• Decimeter, dm
• centimeter, cm
• millimeters, mm

Each one unit descends then multiplied by 10, and if one unit increases then divided by 10

Conversion of other mass units:  

mm millimeters = 10⁻³ m

km kilometers = 10³ m

µm micrometers (mcm) = 10⁻⁶ m  

nm nanometers = 10⁻⁹ m  

Gm gigameters = 10⁹ m  

ρm picometers = 10⁻¹² m

A hydrogen atom has a diameter of about 10 nm

So in micrometers µm = 10⁻⁹ /10⁻⁶ .10= 10⁻²

meters = 10⁻⁹ m . 10 = 10⁻⁸

and millimeters = 10⁻⁹ /10⁻³ . 10 = 10⁻⁵

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Keywords: hydrogen atom, diameter, micrometers, meters, millimeters.