The point on a pin has a diameter of about 1 * 10^-4 meters. If an atom has a diameter of 2 * 10^-9 meters, about how many atoms could fit across the diameter of the point of a pin?
1.0*10^-4
--------------
2.0*10^-9
= 0.5 * 10^5
= 50,000
To find out the number of atoms that could fit across the diameter of the point of a pin, we need to divide the diameter of the point of a pin by the diameter of an atom.
Diameter of the point of a pin = 1 * 10^-4 meters
Diameter of an atom = 2 * 10^-9 meters
Number of atoms across the diameter of the point of a pin = (diameter of the point of a pin) / (diameter of an atom)
Number of atoms across the diameter of the point of a pin = (1 * 10^-4) / (2 * 10^-9)
Simplifying the expression:
Number of atoms across the diameter of the point of a pin = (1/2) * (10^-4 / 10^-9)
Number of atoms across the diameter of the point of a pin = (1/2) * 10^5
Number of atoms across the diameter of the point of a pin = 50,000
Therefore, approximately 50,000 atoms could fit across the diameter of the point of a pin.
To determine how many atoms could fit across the diameter of the point of a pin, we can divide the diameter of the pin by the diameter of an atom.
Given:
Diameter of the pin = 1 * 10^-4 meters
Diameter of an atom = 2 * 10^-9 meters
To find the number of atoms that could fit across the diameter of the pin, we divide the diameter of the pin by the diameter of an atom:
Number of atoms = (Diameter of the pin) / (Diameter of an atom)
Number of atoms = (1 * 10^-4 meters) / (2 * 10^-9 meters)
To divide these values, we can simplify the calculation by converting both values to scientific notation with the same exponent:
Number of atoms = (1 * 10^-4) / (2 * 10^-9)
Number of atoms = (5 * 10^-5) / (10^-9)
Now, we can divide the numerator by the denominator by subtracting the exponents:
Number of atoms = 5 * 10^-5 / 10^-9
Number of atoms = 5 * (10^-5 - (-9))
Number of atoms = 5 * 10^4
Therefore, approximately 5 * 10^4 atoms could fit across the diameter of the point of a pin.