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Practice entering numbers that include a power of 10 by entering the diameter of a hydrogen atom in its ground state, dh= 10.6x10⁻¹¹m, into the answer box.

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Final answer:

The question involves representing the diameter of a hydrogen atom using a power of 10, exemplifying scientific notation frequently used in physics for atomic-scale measurements.

Step-by-step explanation:

The practice of entering numbers that include a power of 10 can be applied by expressing the diameter of a hydrogen atom in scientific notation. The given diameter, dh = 10.6 x 10-11 m, is already in scientific notation and reflects a very small scale of measurement, often used in physics to describe atomic and subatomic scales.

Order of magnitude estimations are helpful for making rough comparisons, such as how many hydrogen atoms it would take to stretch across the diameter of the Sun. It is a quick way to understand the relative size or quantity without needing to perform complex calculations with precise values. Scientific notation also allows us to represent any number, regardless of how large or how small, in a standardized form, simplifying multiplication and division operations that involve powers of 10. For instance, the Bohr radius of a hydrogen atom is expressed as 0.529 x 10-10 m, and scientific notation is crucial for calculating related measurements in physics.

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