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Exclusive measurements of high energy $\gamma$-rays are performed in $\rm^{124}Ba$ and $\rm ^{136}Ba$ at the same excitation energy ($\sim$ 49 MeV), tostudy properties of the giant dipole resonance (GDR) over a wider $N/Z$ range.The high energy $\gamma$-rays are measured in coincidence with the multiplicityof low energy $\gamma$-rays to disentangle the effect of temperature ($T$) andangular momentum ($J$). The GDR parameters are extracted employing a simulatedMonte Carlo statistical model analysis. The observed $\gamma$-ray spectra of$\rm ^{124}Ba$ can be explained with prolate deformation, whereas a singlecomponent Lorentzian function which corresponds to a spherical shape couldexplain the $\gamma$-ray spectra from $\rm ^{136}Ba$. The observed GDR width in$\rm ^{136}Ba$ is narrower compared to that of $\rm ^{124}Ba$.  The statistical model best fit GDR cross sections are found to be in goodagreement with the thermal shape fluctuation model (TSFM) calculations.Further, it is shown that the variation of GDR width with $T$ is wellreproduced by the TSFM calculations over the temperature range of 1.1--1.7MeV.

Giant Dipole Resonance studies in Ba isotopes at $\textbf{ E/A}\sim$ 5 MeV