Height of mercury in a barometer is `h_0 = 76. 0` cm at a temperature of `theta_1 = 20^(@)C`. If the actual atmospheric pressure does not change, but the temperature of the air, and hence the temperature of the mercury and the tube rises to `theta_(2)= 35^(@)C`, what will be the height of mercury column in the barometer now? Coefficient of volume expansion of mercury and coefficient of linear expansion of glass are
`gamma_(Hg) =1.8xx10^(-4).^(@)C^(-1), alpha_(g)=0.09xx10^(-4).^(@)C^(-1)`