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For the optimized values of free parameters, the interior-ESI, surface-ESI and ESI for some planets are calculated. The results for m = 0.8 and T = 0.8 are compared with the values obtained by Schulze-Makuch {\\it et al.} (2011). We have found that the exoplanet 55 Cnc f is within 10% away from the threshold value T. 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