SATHEE: Properties Of Solids And Liquids Question 97

Properties Of Solids And Liquids Question 97

Question: An iron tyre is to be fitted on to a wooden wheel 1m in diameter. The diameter of tyre is 6 mm smaller than that of wheel. The tyre should be heated so that its temperature increases by a minimum of (the coefficient of cubical expansion of iron is 3.6 × 10-5/ºC) [CPMT 1989]

Options:

A) 167ºC

B) 334ºC

C) 500ºC

D) 1000ºC

Show Answer

Answer:

Correct Answer: C

Solution:

Initial diameter of tyre = (1000 - 6) mm = 994 mm,

so initial radius of tyre $R = \frac{994}{2} = 497 m m$ and change in diameter DD = 6 mm so $Δ R = \frac{6}{2} = 3 m m$

After increasing temperature by Dq tyre will fit onto wheel Increment in the length (circumference) of the iron tyre DL = L ´ a ´ Dq $= L \times \frac{γ}{3} \times Δ θ$ [ As $α = \frac{γ}{3}]$

$2 π Δ R = 2 π R (\frac{γ}{3}) Δ θ$

therefore $Δ θ = \frac{3}{γ} \frac{Δ R}{R} = \frac{3 \times 3}{3.6 \times 10^{- 5} \times 497}$

therefore $Δ θ = 500^{o} C$

Properties Of Solids And Liquids Question 97

Question: An iron tyre is to be fitted on to a wooden wheel 1m in diameter. The diameter of tyre is 6 mm smaller than that of wheel. The tyre should be heated so that its temperature increases by a minimum of (the coefficient of cubical expansion of iron is 3.6 × 10-5/ºC) [CPMT 1989]

Options:

Answer:

Solution:

Engineering Preparation

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NCERT Books & Solutions

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Other Resources

Syllabus

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Sample Mock Test

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NCERT Exercise Video Solution

Properties Of Solids And Liquids Question 97

Question: An iron tyre is to be fitted on to a wooden wheel 1m in diameter. The diameter of tyre is 6 mm smaller than that of wheel. The tyre should be heated so that its temperature increases by a minimum of (the coefficient of cubical expansion of iron is 3.6 × 10-5/ºC) [CPMT 1989]

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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