The correct option is B 1γ
Elasticity is also defined using bulk modulus.
Bulk modulus is given by K=−VdPdV
For an isothermal process, temperature is constant
PV=constant
d(PV)=0
PdV+dPV=0
P=−VdPdV
So, for an isothermal process, buld modulus KT=P
For an adiabatic process,
PVγ=constant
d(PVγ)=0
dP.Vγ+P(γVγ−1)dV=0
dP.Vγ+1+γPVγdV=0
γP=−VdPdV
So, for an adiabatic process, bulk modulus Ks=γP
∴KTKs=PγP=1γ
Option B.