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please help me with Q123 with full detail,thank you so much! Figure 9 shows a fr

ID: 2271262 • Letter: P

Question




please help me with Q123 with full detail,thank you so much!

Figure 9 shows a frustum, that is, a truncated cone, made of pure copper. The smaller end, A, is held at a temperature T., while the larger end, B, is held at a lower temperature Tb- The curved surfaces of the frustum are insulated. Which of the three sketches (i), (ii) and (iii) shows the approximate temperature distribution in the frustum? Figure 10 shows a cylindrical rod of cavorite. One end, A, is held at a temperature TAl while the other end, B, is held at a lower temperature TB. The curved surfaces of the rod are insulated. If the thermal conductivity of cavorite increases with temperature, which of the three sketches (i), (ii) and (iii) shows the approximate temperature distribution in the rod? Figure 11 shows a cylindrical rod of plutonium. The smaller end, A, is held at a temperature T4, while the larger end, B, is held at a lower temperature Tb- The curved surfaces of the rod are insulated, q watts of heat are generated per cubic meter of plutonium as a result of radioactive decay. Which of the three sketches (i), (ii) and (iii) is not a possible temperature distribution in the rod?

Explanation / Answer

1) q = kA (Ta - T) /t


since q is same for all,

hence

A(Ta - T) must be constant


now as you go right,

A increases

hence

(Ta - T) should decrease

Hence

T increases


hence (ii)


2) here k increases

hence (ii)


3) (i) is not possible as it would mean that heat flows from lower to higher temperature!

hence (i)