SATHEE: Properties Of Solids And Liquids Question 419

Properties Of Solids And Liquids Question 419

Question: A steel rail of length 5 m and area of cross-section $40 c m^{2}$ is prevented from expanding along its length while the temperature rises by $10^{\circ} C$ . If coefficient of linear expansion and Young’s modulus of steel are $1.2 \times l 0^{- 5} K^{- 1}$ and $2 \times 10^{11}$

${N m}^{- 2}$ respectively, the force developed in the rail is approximately:

Options:

A) $2 \times 10^{7} N$

B) $1 \times 10^{5} N$

C) $2 \times 10^{9} N$

D) $3 \times 1 0^{- 5} N$

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Young’s modulus $= \frac{T h e r m a l s t r e s s}{S t a i n} = \frac{F / A}{Δ L / L}$

$Y = \frac{F}{A . α . Δ θ} (∵ \frac{Δ L}{L} α Δ θ)$

Force developed in the rail $F = Y α Δ t$

$= 2 \times l 0^{11} \times 40 \times l 0^{- 4} \times l .2 \times 1 0^{- 5} \times 10$

$= 9.6 \times 10^{4} = 1 \times l 0^{5} N$

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Properties Of Solids And Liquids Question 419

Question: A steel rail of length 5 m and area of cross-section $40 c m^{2}$ is prevented from expanding along its length while the temperature rises by $10^{\circ} C$ . If coefficient of linear expansion and Young’s modulus of steel are $1.2 \times l 0^{- 5} K^{- 1}$ and $2 \times 10^{11}$

Options:

Answer:

Solution:

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सदस्यता

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Properties Of Solids And Liquids Question 419

Question: A steel rail of length 5 m and area of cross-section 40cm2 is prevented from expanding along its length while the temperature rises by 10∘C . If coefficient of linear expansion and Young’s modulus of steel are 1.2×l0−5K−1 and 2×1011

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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Question: A steel rail of length 5 m and area of cross-section $40 c m^{2}$ is prevented from expanding along its length while the temperature rises by $10^{\circ} C$ . If coefficient of linear expansion and Young’s modulus of steel are $1.2 \times l 0^{- 5} K^{- 1}$ and $2 \times 10^{11}$