Question

The diameter of a proton is about 1.9 cross times 10 to the power of short dash 15 end exponent meters. A hydrogen atom has an overall length of 100,000 times (or 1 cross times 10 to the power of 5 times) the diameter of a proton.
What is the length of the hydrogen atom, in meters, if it were written in scientific notation?

A. 1.9 x 10 (15 exponent)
B. 1.9 x 10 (-15 exponent)
C. 1.9 x 10 (-8 exponent)
D. 1.9 x 10 (-12 exponent)

Answer 1

Using scientific notation, the measure is given as follows:

$1.9 \times 10^{-10}$

What is scientific notation?

A number in scientific notation is given by:

$a \times 10^b$

With the base being $a \in [1, 10)$.

The diameter of a proton, in scientific notation, is given by:

$1.9 \times 10^{-15}$.

The hydrogen atom has an overall length of 100,000 = 10^5 times the diameter of the proton, hence the length is given by:

$L = 100000 \times 1.9 \times 10^{-15} = 10^5 \times 1.9 \times 10^{-15} = 1.9 \times 10^{5 - 15} = 1.9 \times 10^{-10}$

For the above length, I applied the multiplication of factors with the same base and different exponents, where we keep the base and add the exponents.

More can be learned about scientific notation at brainly.com/question/16394306

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