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From a metallic wall at 100°C, a metallic rod protrudes to the ambientair. The temperatures at the tip will be minimum when the rod is made of:
- a)Aluminium
- b)Steel
- c)Copper
- d)Silver
Correct answer is option 'B'. Can you explain this answer?
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From a metallic wall at 100°C, a metallic rod protrudes to the am...
Ans. (b)
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From a metallic wall at 100°C, a metallic rod protrudes to the am...
Heat Transfer by Conduction
The minimum temperature at the tip of the metallic rod can be determined by studying the process of heat transfer by conduction.
Conduction is the transfer of heat through a material without any apparent movement of the material itself.
The rate of heat transfer by conduction is given by Fourier's law:
q = -kA(dT/dx)
where q is the rate of heat transfer, k is the thermal conductivity of the material, A is the cross-sectional area of the rod, and (dT/dx) is the temperature gradient across the rod.
The temperature gradient is proportional to the difference in temperature between the hot end of the rod and the tip of the rod.
Therefore, the material with the highest thermal conductivity will have the smallest temperature gradient and hence the lowest temperature at the tip.
Comparison of Thermal Conductivity
The thermal conductivity of different metals can be compared as follows:
- Steel: 50-60 W/mK
- Aluminium: 205 W/mK
- Copper: 385 W/mK
- Silver: 429 W/mK
From this comparison, we can see that steel has the lowest thermal conductivity among the options given, which means that it will have the smallest temperature gradient and hence the lowest temperature at the tip.
Therefore, the correct answer is option B, steel.
The minimum temperature at the tip of the metallic rod can be determined by studying the process of heat transfer by conduction.
Conduction is the transfer of heat through a material without any apparent movement of the material itself.
The rate of heat transfer by conduction is given by Fourier's law:
q = -kA(dT/dx)
where q is the rate of heat transfer, k is the thermal conductivity of the material, A is the cross-sectional area of the rod, and (dT/dx) is the temperature gradient across the rod.
The temperature gradient is proportional to the difference in temperature between the hot end of the rod and the tip of the rod.
Therefore, the material with the highest thermal conductivity will have the smallest temperature gradient and hence the lowest temperature at the tip.
Comparison of Thermal Conductivity
The thermal conductivity of different metals can be compared as follows:
- Steel: 50-60 W/mK
- Aluminium: 205 W/mK
- Copper: 385 W/mK
- Silver: 429 W/mK
From this comparison, we can see that steel has the lowest thermal conductivity among the options given, which means that it will have the smallest temperature gradient and hence the lowest temperature at the tip.
Therefore, the correct answer is option B, steel.
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From a metallic wall at 100°C, a metallic rod protrudes to the am...
Thermal conductivities in W/ mk
Aluminium 210
copper 385
silver 406
steel 55.
so steel conduct less heat
Aluminium 210
copper 385
silver 406
steel 55.
so steel conduct less heat
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From a metallic wall at 100°C, a metallic rod protrudes to the ambientair. The temperatures at the tip will be minimum when the rod is made of:a)Aluminiumb)Steelc)Copperd)SilverCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about From a metallic wall at 100°C, a metallic rod protrudes to the ambientair. The temperatures at the tip will be minimum when the rod is made of:a)Aluminiumb)Steelc)Copperd)SilverCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From a metallic wall at 100°C, a metallic rod protrudes to the ambientair. The temperatures at the tip will be minimum when the rod is made of:a)Aluminiumb)Steelc)Copperd)SilverCorrect answer is option 'B'. Can you explain this answer?.
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