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Physics · PYQ NEET UG 2023

हिन्दी

The radius of inner most orbit of hydrogen atom is \( 5.3 \times 10^{-11}\text{ m} \). What is the radius of third allowed orbit of hydrogen atom?

  1. A
    \( 0.53\text{ \AA} \)
  2. B
    \( 4.77\text{ \AA} \)
  3. C
    \( 1.59\text{ \AA} \)
  4. D
    \( 1.06\text{ \AA} \)
View Answer & Solution

Correct answer · Option B

\( 4.77\text{ \AA} \)

Explanation

Radius of \( n \)-th orbit \( r_n = n^2 r_1 \). For \( n = 3 \), \( r_3 = 3^2 \times (5.3 \times 10^{-11}\text{ m}) = 9 \times 0.53\text{ \AA} = 4.77\text{ \AA} \).
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