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The ends of a rod of uniform thermal conductivity are maintained at different (constant) temperatures. After the steady state is achieved :
- a)heat flows in the rod from high temperature to low temperature even if the rod has nonuniform cross sectional area.
- b)temperature gradient along length is same even if the rod has non uniform cross sectional area.
- c)heat current is same even if the rod has non-uniform cross sectional area.
- d)if the rod has uniform cross sectional area the temperature is same at all points of the rod.
Correct answer is option 'A,C'. Can you explain this answer?
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Verified Answer
The ends of a rod of uniform thermal conductivity are maintained at di...
Heat obviously flows from higher temperature to lower temperature in steady state. ⇒ A is true.
Thermal current through each cross section area is same. ⇒ C is true.
Temperature decreases along the length of the rod from higher temperature end to lower temperature end. ⇒ D
is false.
Temperature decreases along the length of the rod from higher temperature end to lower temperature end. ⇒ D
is false.
Most Upvoted Answer
The ends of a rod of uniform thermal conductivity are maintained at di...
Heat obviously flows from higher temperature to lower temperature in steady state. ⇒ A is true.
Thermal current through each cross section area is same. ⇒ C is true.
Temperature decreases along the length of the rod from higher temperature end to lower temperature end. ⇒ D
is false.
Temperature decreases along the length of the rod from higher temperature end to lower temperature end. ⇒ D
is false.
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Community Answer
The ends of a rod of uniform thermal conductivity are maintained at di...
Explanation:
Steady State:
In the steady state, the temperature distribution within the rod does not change with time. This means that the rate of heat flow into any section of the rod is equal to the rate of heat flow out of that section.
Heat Flow:
a) Heat flows in the rod from high temperature to low temperature even if the rod has nonuniform cross-sectional area:
Heat always flows from a region of high temperature to a region of low temperature. This is a fundamental principle of heat transfer. The direction of heat flow is determined by the temperature difference between two points. Therefore, even if the rod has a nonuniform cross-sectional area, heat will still flow from the high-temperature end to the low-temperature end.
Temperature Gradient:
b) Temperature gradient along the length is the same even if the rod has a nonuniform cross-sectional area:
The temperature gradient is defined as the rate of change of temperature with respect to distance. In a steady state, the temperature gradient is constant along the length of the rod, regardless of its cross-sectional area. This is because heat flows from high temperature to low temperature, and the temperature difference between two points determines the rate of heat flow. Therefore, the temperature gradient remains the same along the rod.
Heat Current:
c) Heat current is the same even if the rod has a non-uniform cross-sectional area:
Heat current is the rate of heat flow through a cross-sectional area per unit time. In a steady state, the heat current is constant along the rod, regardless of its cross-sectional area. This is because the rate of heat flow into any section of the rod is equal to the rate of heat flow out of that section. Therefore, the heat current remains the same along the rod.
Uniform Cross-Sectional Area:
d) If the rod has a uniform cross-sectional area, the temperature is the same at all points of the rod:
If the rod has a uniform cross-sectional area, the heat flow is distributed evenly along the length of the rod. This means that the temperature is the same at all points of the rod in the steady state. The temperature difference between the two ends of the rod determines the rate of heat flow, but the temperature at any point within the rod is constant.
In summary, in the steady state, heat flows from high temperature to low temperature even if the rod has a nonuniform cross-sectional area, while the temperature gradient, heat current, and temperature remain the same along the rod. If the rod has a uniform cross-sectional area, the temperature is the same at all points of the rod.
Steady State:
In the steady state, the temperature distribution within the rod does not change with time. This means that the rate of heat flow into any section of the rod is equal to the rate of heat flow out of that section.
Heat Flow:
a) Heat flows in the rod from high temperature to low temperature even if the rod has nonuniform cross-sectional area:
Heat always flows from a region of high temperature to a region of low temperature. This is a fundamental principle of heat transfer. The direction of heat flow is determined by the temperature difference between two points. Therefore, even if the rod has a nonuniform cross-sectional area, heat will still flow from the high-temperature end to the low-temperature end.
Temperature Gradient:
b) Temperature gradient along the length is the same even if the rod has a nonuniform cross-sectional area:
The temperature gradient is defined as the rate of change of temperature with respect to distance. In a steady state, the temperature gradient is constant along the length of the rod, regardless of its cross-sectional area. This is because heat flows from high temperature to low temperature, and the temperature difference between two points determines the rate of heat flow. Therefore, the temperature gradient remains the same along the rod.
Heat Current:
c) Heat current is the same even if the rod has a non-uniform cross-sectional area:
Heat current is the rate of heat flow through a cross-sectional area per unit time. In a steady state, the heat current is constant along the rod, regardless of its cross-sectional area. This is because the rate of heat flow into any section of the rod is equal to the rate of heat flow out of that section. Therefore, the heat current remains the same along the rod.
Uniform Cross-Sectional Area:
d) If the rod has a uniform cross-sectional area, the temperature is the same at all points of the rod:
If the rod has a uniform cross-sectional area, the heat flow is distributed evenly along the length of the rod. This means that the temperature is the same at all points of the rod in the steady state. The temperature difference between the two ends of the rod determines the rate of heat flow, but the temperature at any point within the rod is constant.
In summary, in the steady state, heat flows from high temperature to low temperature even if the rod has a nonuniform cross-sectional area, while the temperature gradient, heat current, and temperature remain the same along the rod. If the rod has a uniform cross-sectional area, the temperature is the same at all points of the rod.
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The ends of a rod of uniform thermal conductivity are maintained at different (constant) temperatures. After the steady state is achieved :a)heat flows in the rod from high temperature to low temperature even if the rod has nonuniform cross sectional area.b)temperature gradient along length is same even if the rod has non uniform cross sectional area.c)heat current is same even if the rod has non-uniform cross sectional area.d)if the rod has uniform cross sectional area the temperature is same at all points of the rod. Correct answer is option 'A,C'. Can you explain this answer?
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The ends of a rod of uniform thermal conductivity are maintained at different (constant) temperatures. After the steady state is achieved :a)heat flows in the rod from high temperature to low temperature even if the rod has nonuniform cross sectional area.b)temperature gradient along length is same even if the rod has non uniform cross sectional area.c)heat current is same even if the rod has non-uniform cross sectional area.d)if the rod has uniform cross sectional area the temperature is same at all points of the rod. Correct answer is option 'A,C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The ends of a rod of uniform thermal conductivity are maintained at different (constant) temperatures. After the steady state is achieved :a)heat flows in the rod from high temperature to low temperature even if the rod has nonuniform cross sectional area.b)temperature gradient along length is same even if the rod has non uniform cross sectional area.c)heat current is same even if the rod has non-uniform cross sectional area.d)if the rod has uniform cross sectional area the temperature is same at all points of the rod. Correct answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ends of a rod of uniform thermal conductivity are maintained at different (constant) temperatures. After the steady state is achieved :a)heat flows in the rod from high temperature to low temperature even if the rod has nonuniform cross sectional area.b)temperature gradient along length is same even if the rod has non uniform cross sectional area.c)heat current is same even if the rod has non-uniform cross sectional area.d)if the rod has uniform cross sectional area the temperature is same at all points of the rod. Correct answer is option 'A,C'. Can you explain this answer?.
The ends of a rod of uniform thermal conductivity are maintained at different (constant) temperatures. After the steady state is achieved :a)heat flows in the rod from high temperature to low temperature even if the rod has nonuniform cross sectional area.b)temperature gradient along length is same even if the rod has non uniform cross sectional area.c)heat current is same even if the rod has non-uniform cross sectional area.d)if the rod has uniform cross sectional area the temperature is same at all points of the rod. Correct answer is option 'A,C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The ends of a rod of uniform thermal conductivity are maintained at different (constant) temperatures. After the steady state is achieved :a)heat flows in the rod from high temperature to low temperature even if the rod has nonuniform cross sectional area.b)temperature gradient along length is same even if the rod has non uniform cross sectional area.c)heat current is same even if the rod has non-uniform cross sectional area.d)if the rod has uniform cross sectional area the temperature is same at all points of the rod. Correct answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ends of a rod of uniform thermal conductivity are maintained at different (constant) temperatures. After the steady state is achieved :a)heat flows in the rod from high temperature to low temperature even if the rod has nonuniform cross sectional area.b)temperature gradient along length is same even if the rod has non uniform cross sectional area.c)heat current is same even if the rod has non-uniform cross sectional area.d)if the rod has uniform cross sectional area the temperature is same at all points of the rod. Correct answer is option 'A,C'. Can you explain this answer?.
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The ends of a rod of uniform thermal conductivity are maintained at different (constant) temperatures. After the steady state is achieved :a)heat flows in the rod from high temperature to low temperature even if the rod has nonuniform cross sectional area.b)temperature gradient along length is same even if the rod has non uniform cross sectional area.c)heat current is same even if the rod has non-uniform cross sectional area.d)if the rod has uniform cross sectional area the temperature is same at all points of the rod. Correct answer is option 'A,C'. Can you explain this answer?, a detailed solution for The ends of a rod of uniform thermal conductivity are maintained at different (constant) temperatures. After the steady state is achieved :a)heat flows in the rod from high temperature to low temperature even if the rod has nonuniform cross sectional area.b)temperature gradient along length is same even if the rod has non uniform cross sectional area.c)heat current is same even if the rod has non-uniform cross sectional area.d)if the rod has uniform cross sectional area the temperature is same at all points of the rod. Correct answer is option 'A,C'. Can you explain this answer? has been provided alongside types of The ends of a rod of uniform thermal conductivity are maintained at different (constant) temperatures. After the steady state is achieved :a)heat flows in the rod from high temperature to low temperature even if the rod has nonuniform cross sectional area.b)temperature gradient along length is same even if the rod has non uniform cross sectional area.c)heat current is same even if the rod has non-uniform cross sectional area.d)if the rod has uniform cross sectional area the temperature is same at all points of the rod. Correct answer is option 'A,C'. Can you explain this answer? theory, EduRev gives you an
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