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Two rods of different materials having coefficients of thermal expansion α1, α2 and Young’s modulii Y1, Y2 respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of the rods. If α1 : α2 = 2 : 3, the thermal stresses developed in the two rods are equal provided Y1 : Y2 is equal to
- a)2 : 3
- b)1 : 1
- c)3 : 2
- d)4 : 9
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Two rods of different materials having coefficients of thermal expansi...
Stress = Y × strain ∴ Stress = Yα ΔT
For first rod stress = Y1α1Δ T
For second rod stress = Y2α2ΔT
Since, stresses are equal
For first rod stress = Y1α1Δ T
For second rod stress = Y2α2ΔT
Since, stresses are equal
Most Upvoted Answer
Two rods of different materials having coefficients of thermal expansi...
The coefficient of thermal expansion is a measure of how much a material expands or contracts with a change in temperature. It is usually denoted by the symbol α and is defined as the fractional change in length or volume per degree Celsius of temperature change.
If we have two rods made of different materials, with coefficients of thermal expansion α1 and α2, respectively, we can compare how much they will expand or contract for a given change in temperature.
Let's say the initial length of both rods is L and the change in temperature is ΔT.
The change in length of the first rod can be calculated using the formula:
ΔL1 = α1 * L * ΔT
Similarly, the change in length of the second rod can be calculated using the formula:
ΔL2 = α2 * L * ΔT
By comparing the values of ΔL1 and ΔL2, we can determine which rod will expand or contract more for the given change in temperature.
Note that the coefficient of thermal expansion can be positive or negative, depending on whether the material expands or contracts with an increase in temperature.
If we have two rods made of different materials, with coefficients of thermal expansion α1 and α2, respectively, we can compare how much they will expand or contract for a given change in temperature.
Let's say the initial length of both rods is L and the change in temperature is ΔT.
The change in length of the first rod can be calculated using the formula:
ΔL1 = α1 * L * ΔT
Similarly, the change in length of the second rod can be calculated using the formula:
ΔL2 = α2 * L * ΔT
By comparing the values of ΔL1 and ΔL2, we can determine which rod will expand or contract more for the given change in temperature.
Note that the coefficient of thermal expansion can be positive or negative, depending on whether the material expands or contracts with an increase in temperature.
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Two rods of different materials having coefficients of thermal expansion α1, α2 and Young’s modulii Y1, Y2 respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of the rods. If α1 : α2 = 2 : 3, the thermal stresses developed in the two rods are equal provided Y1 : Y2 is equal toa)2 : 3b)1 : 1c)3 : 2d)4 : 9Correct answer is option 'C'. Can you explain this answer?
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Two rods of different materials having coefficients of thermal expansion α1, α2 and Young’s modulii Y1, Y2 respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of the rods. If α1 : α2 = 2 : 3, the thermal stresses developed in the two rods are equal provided Y1 : Y2 is equal toa)2 : 3b)1 : 1c)3 : 2d)4 : 9Correct answer is option '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 Two rods of different materials having coefficients of thermal expansion α1, α2 and Young’s modulii Y1, Y2 respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of the rods. If α1 : α2 = 2 : 3, the thermal stresses developed in the two rods are equal provided Y1 : Y2 is equal toa)2 : 3b)1 : 1c)3 : 2d)4 : 9Correct answer is option '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 Two rods of different materials having coefficients of thermal expansion α1, α2 and Young’s modulii Y1, Y2 respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of the rods. If α1 : α2 = 2 : 3, the thermal stresses developed in the two rods are equal provided Y1 : Y2 is equal toa)2 : 3b)1 : 1c)3 : 2d)4 : 9Correct answer is option 'C'. Can you explain this answer?.
Two rods of different materials having coefficients of thermal expansion α1, α2 and Young’s modulii Y1, Y2 respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of the rods. If α1 : α2 = 2 : 3, the thermal stresses developed in the two rods are equal provided Y1 : Y2 is equal toa)2 : 3b)1 : 1c)3 : 2d)4 : 9Correct answer is option '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 Two rods of different materials having coefficients of thermal expansion α1, α2 and Young’s modulii Y1, Y2 respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of the rods. If α1 : α2 = 2 : 3, the thermal stresses developed in the two rods are equal provided Y1 : Y2 is equal toa)2 : 3b)1 : 1c)3 : 2d)4 : 9Correct answer is option '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 Two rods of different materials having coefficients of thermal expansion α1, α2 and Young’s modulii Y1, Y2 respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of the rods. If α1 : α2 = 2 : 3, the thermal stresses developed in the two rods are equal provided Y1 : Y2 is equal toa)2 : 3b)1 : 1c)3 : 2d)4 : 9Correct answer is option 'C'. Can you explain this answer?.
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ample number of questions to practice Two rods of different materials having coefficients of thermal expansion α1, α2 and Young’s modulii Y1, Y2 respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of the rods. If α1 : α2 = 2 : 3, the thermal stresses developed in the two rods are equal provided Y1 : Y2 is equal toa)2 : 3b)1 : 1c)3 : 2d)4 : 9Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
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