SATHEE: Properties Of Solids And Liquids Question 406

Properties Of Solids And Liquids Question 406

Question: Two marks on a glass rod 10 cm apart are found to increase their distance by 0.08 mm when the rod is heated from $0^{\circ} C$ to $100^{\circ} C$ . A flask made of the same glass as that of rod measures a volume of 1000 cc at $0^{\circ} C$ . The volume it measures at $100^{\circ} C$ in cc is

Options:

A) 1002.4

B) 1004.2

C) 1006.4

D) 1008.2

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $T_{1} = 0^{\circ} C, T_{2} = 100^{\circ} C$

$γ = \frac{V_{2} - V_{1}}{100 V_{1}}; α = \frac{ℓ_{2} - ℓ_{1}}{100 ℓ_{1}}$

$ℓ_{1} = 10 c m; ℓ_{2} - ℓ_{1} = 0.08 m m = 0.008 c m$

$α = \frac{0.008}{10 \times 100} = 8 \times 10^{- 6} /^{o} C$

$γ = 3 α = 24 \times 10^{- 6} /^{o} C$

$∴ 24 \times 10^{- 6} = \frac{V_{2} - 1000}{1000 \times 100}$

$V_{2} - 1000 \times 24 \times 10^{- 6} \times 10^{5} = 2.4$

$∴ V_{2} = 1002.4 c c$

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Properties Of Solids And Liquids Question 406

Question: Two marks on a glass rod 10 cm apart are found to increase their distance by 0.08 mm when the rod is heated from 0∘C to 100∘C . A flask made of the same glass as that of rod measures a volume of 1000 cc at 0∘C . The volume it measures at 100∘C in cc is

Options:

Answer:

Solution:

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