We have observed the Rabi oscillations of the population of \(^{87}Rb\) atoms in the hyperfine ground state, when a cold atom cloud prepared in the hyperfine ground state ( \(F = 1\) ) was exposed to a microwave (MW) radiation field resonant to the \(|F = 1, m_{F} = 0>\) \(\rightarrow\) \(|F = 2, m_{F} = 0>\) transition. After exposure to MW field, the atom cloud was imaged using the absorption probe method. The absorption images have revealed that population excited to the hyperfine state ( \(F = 2\) ) varied with the position in the atom cloud, showing the position dependent atom-field coupling strength. At a given position in the atom cloud, the excited population shows Rabi oscillations between two hyperfine states. Thus, we have demonstrated that by measuring the position dependent Rabi frequency, the spatial variation of magnetic field can be measured using a cold atom cloud.
