In the Bohr model of hydrogen atom, the electron circles around the nucleus with a speed 5 × 105 m/s in an orbit of radius 5 × 10-11 m. The magnetic field at the centre of the orbit is [[1]] T.

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In the Bohr model of hydrogen atom, the electron circles around the nucleus with a speed $5 \times 10^{5} m / s$ in an orbit of radius $5 \times 10^{- 11} m$ . The magnetic field at the centre of the orbit is [[1]] $T$ .

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Detailed Solution

In the Bohr model of hydrogen atom, the electron circles around the nucleus with a speed

5 \times 10^{5} m / s

in an orbit of radius

5 \times 10^{- 11} m

. The magnetic field at the centre of the orbit is

3.2 T

.
Given,
Radius of orbit,

r = 5 \times 10^{- 11} m

Velocity of electron,

v = 5 \times 10^{5} m / s

We know that charge on electron,

e = 1.6 \times 10^{- 19} C

Magnetic field is the region in which an electric charge experiences magnetic influence. In a hydrogen atom, electrons are present carrying current and the atom will experience a magnetic field due to the charge.
The magnetic field at the centre of the atom is given by,