To a first approximation, just think that H has only one proton and 1 s orbital so the range of chemical environments are limited compared to C. I would highly recommend this site http://www.chem.wisc.edu/areas/reich/chem605/index.htm for getting answers concerning NMR spectroscopy.
The gyromagnetic constant of carbon is smaller than four times of hydrogen and this constant is one of the factors that influences on chemical shift values. Different nuclei have different frequencies in the same magnetic field, so their values of chemical shift are also different, because there is a direct relationship between them.. A complete and deep answer can be found in a good NMR textbook.
Chemical shift depends on the net magnetic field felt by the nuclei (H,C). The net magnetic field, in turn, depends upon the electron density possessed by the particular atom (Shielding constant). In the case of hydrogen, there is just a single electron and by coordination with others (H-F, CH3-F etc) leads to the slight change in electron density around the hydrogen nuclei, therefore, results in the small range of chemical shift. However, carbon having six electrons, being tetravalent, as well as attached to diverse functionalities leads to the considerable change in electron density around the carbon nuclei thereby, possess broader range of chemical shift values.
One cannot correlate γ (gyromagnetic ratio) with the range; however, there is one to one correspondence of γ with the precessional frequency of the nucleus. The gyromagnetic ratio for all the nuclei (C,H etc) in a molecule remains same irrespective of the environment.
Dr. Michael Pach and Dr.Moshin Lone. I am "friendly ansewering your comments . First of all none of you answered the question asked ie because different chemical shift scale for two types of nuclei. I know perfectly that the chemical shift depends on the electron density around the nucleus, and as mentioned that the gyromagnetic ratio is related to precessional frequency. Differences in electron density explain just different chemical shifts values and not why we have different scales of ppm. So I would like to add the initial question-friendly-how to explain that in the same magnetic field (eg 7.05 Tesla) we have different scales of chemical shift for different nuclei that-I think you agree, that we have different precession frequencies 1H(300 MHz) 13C (75.4 MHz). I guess this the main question of Dr. M.Javaherian
Let me tell you that I am still pursuing Ph.D. therefore, doesn't deserve to be called as a Dr. Moshin Lone. Moreover, RG is meant for the exchange of knowledge and ideas and therefore there is nothing like friendly or un-friendly. Could you please explain the different scales of ppm and their correlation with range?