In hydrogen atom, an electron is revolving in the orbit of radius 0.53 overset texto mathop textA with 6.6 × 1015 rotation/s. Magnetic field produced at the centre of the orbit is

Question

In hydrogen atom, an electron is revolving in the orbit of radius 0.53 overset texto mathop textA with 6.6 × 1015 rotation/s. Magnetic field produced at the centre of the orbit is (A)  0.125 Wb/m2  (B)  1.25 Wb/m2  (C)  12.5 Wb/m2  (D)  125 Wb/m2

Tardigrade Admin · Accepted Answer

The magnetic field at the centre of the orbit B=(μ 0/4π )⋅ (2π (qv)/r) =10-7× (2× 3.14× (1.6× 10-19× 6.6× 1015)/0.53× 10-10) =12.5 Wb/m3

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

$0.125 Wb / m^{2}$

$1.25 Wb / m^{2}$

$12.5 Wb / m^{2}$

$125 Wb / m^{2}$

The magnetic field at the centre of the orbit $B = \frac{μ _{0}}{4 π} \cdot \frac{2 π ( q v )}{r}$ $= 10^{- 7} \times \frac{2 \times 3.14 \times ( 1.6 \times 10 ^{- 19} \times 6.6 \times 10 ^{15} )}{0.53 \times 10 ^{- 10}}$ $= 12.5 Wb / m^{3}$

Q. In hydrogen atom, an electron is revolving in the orbit of radius 0.53Ao with 6.6×1015 rotation/s. Magnetic field produced at the centre of the orbit is

0.125Wb/m2

1.25Wb/m2

12.5Wb/m2

125Wb/m2