Steady two-dimensional heat conduction takes place in the body shown in the figure below. The normal temperature gradients over surfaces P and Q can be considered to be uniform. The temperature gradient \(\frac{{\partial T}}{{\partial x}}\) at surface Q is equal to 10 K/m. Surfaces P and Q are maintained at constant temperatures as shown in the figure. While the remaining part of the boundary is insulated. The body has a constant thermal conductivity of 0.1 W/m.K. The values of \(\frac{{\partial T}}{{\partial x}}\) and \(\frac{{\partial T}}{{\partial y}}\) at surface P are

• A. \(\frac{{\partial T}}{{\partial x}} = 20\;\frac{K}{m},\\ \frac{{\partial T}}{{\partial y}} = 0\;\frac{{\;K}}{m}\)
• B. \(\frac{{\partial T}}{{\partial x}} = 0\;\frac{K}{m},\\ \frac{{\partial T}}{{\partial y}} = 10\;\frac{K}{m}\)
• C. \(\frac{{\partial T}}{{\partial x}} = 10\;\frac{K}{m},\\ \frac{{\partial T}}{{\partial y}} = 10\;\frac{K}{m}\)
• D. \(\frac{{\partial T}}{{\partial x}} = 0\;\frac{K}{m},\\\frac{{\partial T}}{{\partial y}} = 20\;\frac{K}{m}\)