List I | List II |
---|---|
(A) (∂S/∂P)T | (I) (∂P/∂T)V |
(B) (∂T/∂V)S | (II) (∂V/∂S)P |
(C) (∂T/∂P)S | (III) -(∂V/∂T)P |
(D) (∂S/∂V)T | (IV) -(∂P/∂S)V |
Use the well-known Maxwell relations in thermodynamics
$\left( \frac{\partial S}{\partial P} \right)_T = - \left( \frac{\partial V}{\partial T} \right)_P \implies (A) \rightarrow (III), $
$\left( \frac{\partial S}{\partial V} \right)_T = \left( \frac{\partial P}{\partial T} \right)_V \implies (D) \rightarrow (I), $
$\left( \frac{\partial T}{\partial V} \right)_S = - \left( \frac{\partial P}{\partial S} \right)_V \implies (B) \rightarrow (IV)$,
$\left( \frac{\partial T}{\partial P} \right)_S = \left( \frac{\partial V}{\partial S} \right)_P \implies (C) \rightarrow (II).$
Thus the correct matches are:
$A \rightarrow III, \quad B \rightarrow IV, \quad C \rightarrow II, \quad D \rightarrow I$
Ultraviolet light of wavelength 350 nm and intensity \(1.00Wm^{−2 }\) falls on a potassium surface. The maximum kinetic energy of the photoelectron is