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A metal wire of length l and area of cross-section A is fixed between rigid supports at negligible tension. If this is cooled, the tension in the wire will be (a) proportional to l (b) inversely proportional to l (c) independent of l (d) independent of A?
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A metal wire of length l and area of cross-section A is fixed between ...
The tension in a metal wire is independent of its length but directly proportional to its area of cross-section.
Explanation:
When a metal wire is fixed between rigid supports, it experiences tension due to the forces acting on it. When the wire is cooled, its length decreases due to thermal contraction.
Tension in the wire:
The tension in a wire is a measure of the pulling force acting on it. It is directly proportional to the force required to stretch or elongate the wire.
Effect of cooling on tension:
When the wire is cooled, its length decreases. This decrease in length does not affect the tension in the wire. The reason for this is that when the wire is fixed between rigid supports, it is already in a state of equilibrium. The tension in the wire is balanced by an equal and opposite force exerted by the rigid supports.
Effect of length on tension:
The tension in a wire is not directly dependent on its length. The length of the wire only affects the amount of elongation or stretching it undergoes when subjected to a particular tension. If the force applied to the wire remains constant, the tension will remain the same regardless of the wire's length.
Effect of area of cross-section on tension:
The tension in a wire is directly proportional to its area of cross-section. A wire with a larger cross-sectional area can withstand a greater pulling force before it breaks or deforms. Therefore, increasing the area of cross-section increases the tension the wire can withstand.
Conclusion:
In conclusion, the tension in a metal wire fixed between rigid supports is independent of its length but directly proportional to its area of cross-section. Cooling the wire will not affect the tension, as long as the wire remains in a state of equilibrium between the forces acting on it.
Explanation:
When a metal wire is fixed between rigid supports, it experiences tension due to the forces acting on it. When the wire is cooled, its length decreases due to thermal contraction.
Tension in the wire:
The tension in a wire is a measure of the pulling force acting on it. It is directly proportional to the force required to stretch or elongate the wire.
Effect of cooling on tension:
When the wire is cooled, its length decreases. This decrease in length does not affect the tension in the wire. The reason for this is that when the wire is fixed between rigid supports, it is already in a state of equilibrium. The tension in the wire is balanced by an equal and opposite force exerted by the rigid supports.
Effect of length on tension:
The tension in a wire is not directly dependent on its length. The length of the wire only affects the amount of elongation or stretching it undergoes when subjected to a particular tension. If the force applied to the wire remains constant, the tension will remain the same regardless of the wire's length.
Effect of area of cross-section on tension:
The tension in a wire is directly proportional to its area of cross-section. A wire with a larger cross-sectional area can withstand a greater pulling force before it breaks or deforms. Therefore, increasing the area of cross-section increases the tension the wire can withstand.
Conclusion:
In conclusion, the tension in a metal wire fixed between rigid supports is independent of its length but directly proportional to its area of cross-section. Cooling the wire will not affect the tension, as long as the wire remains in a state of equilibrium between the forces acting on it.
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A metal wire of length l and area of cross-section A is fixed between rigid supports at negligible tension. If this is cooled, the tension in the wire will be (a) proportional to l (b) inversely proportional to l (c) independent of l (d) independent of A?
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A metal wire of length l and area of cross-section A is fixed between rigid supports at negligible tension. If this is cooled, the tension in the wire will be (a) proportional to l (b) inversely proportional to l (c) independent of l (d) independent of A? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A metal wire of length l and area of cross-section A is fixed between rigid supports at negligible tension. If this is cooled, the tension in the wire will be (a) proportional to l (b) inversely proportional to l (c) independent of l (d) independent of A? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A metal wire of length l and area of cross-section A is fixed between rigid supports at negligible tension. If this is cooled, the tension in the wire will be (a) proportional to l (b) inversely proportional to l (c) independent of l (d) independent of A?.
A metal wire of length l and area of cross-section A is fixed between rigid supports at negligible tension. If this is cooled, the tension in the wire will be (a) proportional to l (b) inversely proportional to l (c) independent of l (d) independent of A? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A metal wire of length l and area of cross-section A is fixed between rigid supports at negligible tension. If this is cooled, the tension in the wire will be (a) proportional to l (b) inversely proportional to l (c) independent of l (d) independent of A? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A metal wire of length l and area of cross-section A is fixed between rigid supports at negligible tension. If this is cooled, the tension in the wire will be (a) proportional to l (b) inversely proportional to l (c) independent of l (d) independent of A?.
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