UPSEE Solved Model Paper 1

Bulk modulus is defined as
B = -

VΔP

ΔV

For adiabatic process, 𝑃𝑉𝛾 = constant. Differentiating
partially, we get
Δ𝑃𝑉𝛾+𝑃𝛾𝐶𝛾−1Δ𝑉 = 0
or

VΔP

ΔV

= γP
Therefore Ba = 𝛾𝑃
Similarly, for isothermal process, PV= constant gives
Bi = P
Hence

Ba

Bi

= γ