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Physics · PYQ NEET UG 2025

हिन्दी

De-Broglie wavelength of an electron orbiting in the \( n = 2 \) state of hydrogen atom is close to (Given Bohr radius = \( 0.052\text{ nm} \))

  1. A
    \( 0.067\text{ nm} \)
  2. B
    \( 0.67\text{ nm} \)
  3. C
    \( 1.67\text{ nm} \)
  4. D
    \( 2.67\text{ nm} \)
View Answer & Solution

Correct answer · Option B

\( 0.67\text{ nm} \)

Explanation

For an electron in the \( n^{\text{th}} \) Bohr orbit, the circumference equals \( n\lambda \). Thus, \( \lambda = \frac{2\pi r_n}{n} \). For \( n = 2 \), \( r_2 = 2^2 \times r_0 = 4 \times 0.052\text{ nm} \), giving \( \lambda = 2\pi (0.052) \approx 0.67\text{ nm} \).
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