What is the ratio of adiabatic compressibility to isothermal compressibility?

Answer: Option B

By T-Ds Equations at constant entropy
$$\begin{array}{rl}& C_{p}dT=T\frac{\partial V}{\partial T_P}dP\text{ and}\\ & C_v=-T{\left(\frac{\partial P}{\partial T}\right)}_P{\left(\frac{\partial V}{\partial T}\right)}_S\\ & \Rightarrow \frac{C_P}{C_V}=\frac{\left(\frac{\partial P}{\partial V}\right)S}{\left(\frac{\partial P}{\partial V}\right)T}\end{array}$$
Since, $$C_P$$  is always greater than $$C_V$$  the ratio of isothermal compressibility and isentropic (reversible adiabatic) process is always greater than $$1\Rightarrow$$   the difference is greater than zero.