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In hydrogen atom, an electron is revolving in the orbit of radius \( 0.53 \dot{A} \) with \( 6.6 \times 10^{15} \) radiation/s. Magnetic field produced at the centre of the orbit is

1. \( 0.125 W b / m^{2} \)
2. \( 1.25 W b / m^{2} \)
3. \( 12.5 W b / m^{2} \)
4. \( 125 W b / m^{2} \)

Correct answer: \( 1.25 W b / m^{2} \)

Solution

An electron moving in a circular orbit constitutes a current loop with current I = e f. The magnetic field at the center of a single circular loop is B = μ0 I / (2r), which gives the stated value when the given radius and frequency are substituted.

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