To determine A detailed explanation behind larger atomic size with larger Planck’s constant, h.

spatularificw2

spatularificw2

Answered question

2022-10-02

To determine
A detailed explanation behind larger atomic size with larger Planck’s constant, h.

Answer & Explanation

Deanna Randolph

Deanna Randolph

Beginner2022-10-03Added 3 answers

Answer to Problem
Atoms would be larger if Planck’s constant, h, were larger.
Explanation of Solution
According to de Broglie’s equation,
λ = h p = h m v ,
where λ is the wavelength, h is the Planck’s constant, m is the mass and v is the velocity.
The wavelength of an object is equal to Planck’s constant times its momentum (momentum is mass times velocity, p = mv). It is evident that for a larger Planck’s constant, the atom would be larger due to larger quantum uncertainties and for a smaller Planck's constant would allow atoms to be smaller, due to smaller quantum uncertainties.
Conclusion:
Atoms would be larger if Planck’s constant, h, were larger.

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