Two conductors of same cross-section and conductivities K, 3K and length 3 d and d respectively are connected end to end as shown in figure. Temperature of end of first conductor is `theta_(1)` and that of second conductor is `theta_(2)` .the temperature of junction is steady state is `(theta_(2)gttheta_(1))`
Two materials having coefficients of thermal conductivity ‘3 K’ and ‘K’ and thickness ‘d’ and ‘3 d’, respectively, are joined to form a slab as shown in the figure. The temperatures of the outer surfaces are theta_(2) and theta_(1) respectively, (theta_(2) gt theta_(1)) The temperature at the interface is:
Three rods of the same dimension have thermal conductivity 3K, 2K and K as shown in the figure. The temperature of the junction in steady-state is
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
Two bars of same length and same cross-sectional area but of different thermal conductivites K_(1) and K_(2) are joined end to end as shown in the figure. One end of the compound bar it is at temperature T_(1) and the opposite end at temperature T_(2) (where T_(1) gt T_(2) ). The temperature of the junction is
Two bars of thermal conductivities K and 3K and lengths 1 cm and 2 cm respectively have equal cross-sectional area, they are joined lengths wise as shown in the figure. If the temperature at the ends of this composite br is 0^(@)C and K^(2)//l respectively (see figure), then the temperature phi of the interface is
Three rods of same dimensions have thermal conductivities 3K, 2k and K, with their ends at 100^@C , 50^@C and 0^@C respectively . They re arranged as shown in the diagram . The temperature of the junction J in steady -state is
Three rods AB,BC and BD having thremal conductivities in the ratio 1:2:3 and lengths in the ratio 2:1:1 are joined as shown in The ends A,C and D are at temperature theta_(1),theta_(2) and theta_(3) respectively Find the temperature of the junction B (Assume steady state and theta_(1)gt theta gt theta_(2)gttheta_(3)) .
Two cylindrical conductors with equal cross-sections and different resistivites rho_(1) and rho_(2) are point end to end. Find the charge at the boundary of the conduction if a current I flows from conductor 1 to conductor 2
Four identical heat conductors are connected as shown in the figure. The temperature theta of the junction is [rods are insulated from the sides ]
_2019_CBT4_E01_064_Q01.png)
