Using the formula λ = h / √2mKT, determine the value of λ if h = 6.63×10⁻³⁴, m = 9.1×10⁻³¹, k = 1.38×10⁻²³, and T = 300.

30.8 / √T Å
6.63×10⁻³⁴ / √2×9.1×10⁻³¹×1.38×10⁻²³×T m
30.8 / √T m
None of these

Correct answer: 30.8 / √T Å

Solution

The given formula λ = h / √(2mKT) is used to calculate the de Broglie wavelength. Substituting the constants and simplifying, the result matches the form 30.8 / √T Å, which is option A.

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