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Question: Gyromagnetic ratio is the ratio of magnetic moment \(\left( \mu _ { 1 } \right)\) to the orbit angu...

Gyromagnetic ratio is the ratio of magnetic moment (μ1)\left( \mu _ { 1 } \right) to the orbit angular momentum (l).Its numerical value for an electron is given by

A

8.8×10−12Ckg−18.8 \times 10 ^ { - 12 } \mathrm { C } \mathrm { kg } ^ { - 1 }

B

8.8×1010Ckg−18.8 \times 10 ^ { 10 } \mathrm { C } \mathrm { kg } ^ { - 1 }

C

1.6×10−19Ckg−11.6 \times 10 ^ { - 19 } \mathrm { Ckg } ^ { - 1 }

D

Answer

8.8×1010Ckg−18.8 \times 10 ^ { 10 } \mathrm { C } \mathrm { kg } ^ { - 1 }

Explanation

Solution

The gyromagnetic ratio is a constant for any charged particle its value is given by

μ11=e2 m\frac { \mu _ { 1 } } { 1 } = \frac { e } { 2 \mathrm {~m} }

For electron