Two rods having thermal conductivity in the ratio of 5 : 3 having equal lengths and equal cross-sectional area are joined by face to face. If the temperature of the free end of the first rod is `100^(@)C` and free end of the second rod is `20^(@)C` . Then temperature of the junction is
A. `70^(@)C`
B. `50^(@)C`
C. `50^(@)C`
D. `90^(@)C`