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MCQs

Total Questions : 75 | Page 4 of 8 pages
Question 31. In heat dissipation from an infinitely long fin, the boundary conditions are
  1.    t = t0 at x = infinity and t = ta at x = 0
  2.    t = t0 at x = 0 and t = ta at x = infinity
  3.    t = t0 at x = 0 and t = ta at x = 0
  4.    t = t0 at x = infinity and t = ta at x = infinity
 Discuss Question
Answer: Option B. -> t = t0 at x = 0 and t = ta at x = infinity
Answer: (b).t = t0 at x = 0 and t = ta at x = infinity
Question 32. Let us say there are two rods having same dimensions, one made of brass (k = 85W/m K) and the other of copper (k = 375W/m K), having one of their ends inserted into a furnace. At a section 10.5 cm away from the furnace, the temperature of brass rod is 120 degree Celsius. Find the distance at which the same temperature would be reached in the copper rod? Both ends are exposed to the same environment
  1.    12.54 cm
  2.    45.87 cm
  3.    12.34 cm
  4.    22.05 cm
 Discuss Question
Answer: Option D. -> 22.05 cm
Answer: (d).22.05 cm
Question 33. The temperature distribution in case of infinitely long fin is
  1.    t – t a/t₀ – t a = mx
  2.    t – t a/t₀ – t a = -mx
  3.    t – t a/t₀ – t a = e-m x
  4.    t – t a/t₀ – t a = log (m x)
 Discuss Question
Answer: Option C. -> t – t a/t₀ – t a = e-m x
Answer: (c).t – t a/t₀ – t a = e-m x
Question 34. The rate of heat transfer in case of infinitely long fin is given by
  1.    (h P k A)^1/2 (t₀ – t a)
  2.    (h P A)^1/2 (t₀ – t a)
  3.    (P k A)^1/2 (t₀ – t a)
  4.    (h k A)^1/2 (t₀ – t a)
 Discuss Question
Answer: Option A. -> (h P k A)^1/2 (t₀ – t a)
Answer: (a).(h P k A)^1/2 (t₀ – t a)
Question 35. Three rods, one made of silver (l = 420W/m K), second made of aluminum (k = 210W/m K) and the third made of iron (k = 70W/m K) are coated with a uniform layer of wax all around. The rods are placed vertically in a boiling water bath with 250 mm length of each rod projecting outside. If all the rods are having following dimensions i.e. diameter = 15 mm and length = 300 mm and have identical surface coefficient 12.5W/ m² K, work out the ratio of lengths up to which wax will melt on each rod
  1.    2.45:1:1.732
  2.    1.732:1:2.45
  3.    2.45:1.732:1
  4.    1.732:1:2.45
 Discuss Question
Answer: Option C. -> 2.45:1.732:1
Answer: (c).2.45:1.732:1
Question 36. A rod of 10 mm square section and 160 mm length with thermal conductivity of 50W/m K protrudes from a furnace wall at 200 degree Celsius with convective coefficient 20 W/ square m K. Make calculations for the heat convective up to 80 mm length
  1.    6.84W
  2.    7.34W
  3.    4.54W
  4.    5.47W
 Discuss Question
Answer: Option A. -> 6.84W
Answer: (a).6.84W
Question 37. A fin protrudes from a surface which is held at a temperature higher than that of its environment. The heat transferred away from the fin is
  1.    Heat escaping from the tip of the fin
  2.    Heat conducted along the fin length
  3.    Convective heat transfer from the fin surface
  4.    Sum of heat conducted along the fin length and that convected from the surface
 Discuss Question
Answer: Option C. -> Convective heat transfer from the fin surface
Answer: (c).Convective heat transfer from the fin surface
Question 38. The parameter m = (h P/k A C)^1/2 has been stated to increase in a long fin. If all other parameters are constant, then
  1.    Profile of temperature will remain the same
  2.    Along the length temperature drop will be less
  3.    The parameter influences the heat flow only
  4.    The temperature drop along the length will be steeper
 Discuss Question
Answer: Option D. -> The temperature drop along the length will be steeper
Answer: (d).The temperature drop along the length will be steeper
Question 39. The value of correction length for equilateral fin is
  1.    L C = 2 L + a/4(3)^1/2
  2.    L C = L + a/4(3)^1/2
  3.    L C = 3 L + a/4(3)^1/2
  4.    L C = 6 L + a/4(3)^1/2
 Discuss Question
Answer: Option B. -> L C = L + a/4(3)^1/2
Answer: (b).L C = L + a/4(3)^1/2
Question 40. The relevant boundary conditions in case of heat dissipation from a fin insulated at the tip are
  1.    t = t₀ at x = 0 and d t/d x = 0 at x = 0
  2.    t = t₀ at x = 0 and d t/d x = 0 at x = 1
  3.    t = t₀ at x = 1 and d t/d x = 0 at x = 1
  4.    t = t₀ at x = infinity and d t/d x = 0 at x = infinity
 Discuss Question
Answer: Option B. -> t = t₀ at x = 0 and d t/d x = 0 at x = 1
Answer: (b).t = t₀ at x = 0 and d t/d x = 0 at x = 1

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