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A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is:
(αCu = 1.7 × 10-5 K-1 and αAl = 2.2 × 10-5 K-1)
(αCu = 1.7 × 10-5 K-1 and αAl = 2.2 × 10-5 K-1)
- a)6.8 cm
- b)113.9 cm
- c)88 cm
- d)68 cm
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A copper rod of 88 cm and an aluminium rod of unknown length have thei...
αCuLCu = αAlLAl
1.7 × 10–5 × 88 cm = 2.2 × 10-5 × LAl
1.7 × 10–5 × 88 cm = 2.2 × 10-5 × LAl
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A copper rod of 88 cm and an aluminium rod of unknown length have thei...
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A copper rod of 88 cm and an aluminium rod of unknown length have thei...
Given data:
Length of copper rod (LCu) = 88 cm
Linear expansion coefficient of copper (αCu) = 1.7 × 10-5 K-1
Linear expansion coefficient of aluminium (αAl) = 2.2 × 10-5 K-1
Calculation:
Change in length of copper rod:
ΔLCu = LCu × αCu × ΔT
ΔLCu = 88 × 1.7 × 10-5 × ΔT
Change in length of aluminium rod:
ΔLAl = LAl × αAl × ΔT
As per the given condition, the increase in length of the two rods is independent of the increase in temperature. Therefore, ΔLCu = ΔLAl
88 × 1.7 × 10-5 × ΔT = LAl × 2.2 × 10-5 × ΔT
88 × 1.7 = LAl × 2.2
LAl = (88 × 1.7) / 2.2
LAl = 68 cm
Therefore, the length of the aluminium rod is 68 cm. Hence, the correct answer is option 'D'.
Length of copper rod (LCu) = 88 cm
Linear expansion coefficient of copper (αCu) = 1.7 × 10-5 K-1
Linear expansion coefficient of aluminium (αAl) = 2.2 × 10-5 K-1
Calculation:
Change in length of copper rod:
ΔLCu = LCu × αCu × ΔT
ΔLCu = 88 × 1.7 × 10-5 × ΔT
Change in length of aluminium rod:
ΔLAl = LAl × αAl × ΔT
As per the given condition, the increase in length of the two rods is independent of the increase in temperature. Therefore, ΔLCu = ΔLAl
88 × 1.7 × 10-5 × ΔT = LAl × 2.2 × 10-5 × ΔT
88 × 1.7 = LAl × 2.2
LAl = (88 × 1.7) / 2.2
LAl = 68 cm
Therefore, the length of the aluminium rod is 68 cm. Hence, the correct answer is option 'D'.
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A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is:(αCu = 1.7 × 10-5 K-1 and αAl = 2.2 × 10-5 K-1)a)6.8 cmb)113.9 cmc)88 cmd)68 cmCorrect answer is option 'D'. Can you explain this answer?
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A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is:(αCu = 1.7 × 10-5 K-1 and αAl = 2.2 × 10-5 K-1)a)6.8 cmb)113.9 cmc)88 cmd)68 cmCorrect answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is:(αCu = 1.7 × 10-5 K-1 and αAl = 2.2 × 10-5 K-1)a)6.8 cmb)113.9 cmc)88 cmd)68 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is:(αCu = 1.7 × 10-5 K-1 and αAl = 2.2 × 10-5 K-1)a)6.8 cmb)113.9 cmc)88 cmd)68 cmCorrect answer is option 'D'. Can you explain this answer?.
A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is:(αCu = 1.7 × 10-5 K-1 and αAl = 2.2 × 10-5 K-1)a)6.8 cmb)113.9 cmc)88 cmd)68 cmCorrect answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is:(αCu = 1.7 × 10-5 K-1 and αAl = 2.2 × 10-5 K-1)a)6.8 cmb)113.9 cmc)88 cmd)68 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is:(αCu = 1.7 × 10-5 K-1 and αAl = 2.2 × 10-5 K-1)a)6.8 cmb)113.9 cmc)88 cmd)68 cmCorrect answer is option 'D'. Can you explain this answer?.
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A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is:(αCu = 1.7 × 10-5 K-1 and αAl = 2.2 × 10-5 K-1)a)6.8 cmb)113.9 cmc)88 cmd)68 cmCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is:(αCu = 1.7 × 10-5 K-1 and αAl = 2.2 × 10-5 K-1)a)6.8 cmb)113.9 cmc)88 cmd)68 cmCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is:(αCu = 1.7 × 10-5 K-1 and αAl = 2.2 × 10-5 K-1)a)6.8 cmb)113.9 cmc)88 cmd)68 cmCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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