SATHEE: Properties of Matter 2 Question 10

Properties of Matter 2 Question 10

10. A metal ball immersed in alcohol weighs $w_{1}$ at $0^{\circ} C$ and $w_{2}$ at $50^{\circ} C$ . The coefficient of cubical expansion of the metal is less than that of the alcohol. Assuming that the density of the metal is large compared to that of alcohol, it can be shown that

$(1980, 2 M)$

(a) $w_{1} > w_{2}$

(b) $w_{1} = w_{2}$

(d) All of these

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A wooden cylinder of diameter $4 r$ , height $h$ and density $ρ / 3$ is kept on a hole of diameter $2 r$ of tank, filled with liquid of density $ρ$ as shown in the figure.

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Answer:

Correct Answer: 10. Most appropriate option is (d)

Solution:

$w_{app} = w_{actual} - Upthrust$

Upthrust $F = V_{S} ρ_{L} g$

Here, $V_{S} =$ volume of solid, $ρ_{L} =$ density of liquid

At higher temperature $F^{'} = V_{S}^{'} ρ_{L}^{'} g$

$∴ \frac{F^{'}}{F} = \frac{V_{S}^{'}}{V_{S}} \cdot \frac{ρ_{L}^{'}}{ρ_{L}} = \frac{(1 + γ_{S} Δ θ)}{(1 + γ_{L} Δ θ)}$

Since,

$γ_{S} < γ_{L}$

$∴ F^{'} < F or w_{app}^{'} > w_{app}$

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Properties of Matter 2 Question 10

10. A metal ball immersed in alcohol weighs $w_{1}$ at $0^{\circ} C$ and $w_{2}$ at $50^{\circ} C$ . The coefficient of cubical expansion of the metal is less than that of the alcohol. Assuming that the density of the metal is large compared to that of alcohol, it can be shown that

Passage Based Questions

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Answer:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

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नमूना मॉक टेस्ट

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एनसीईआरटी व्यायाम वीडियो समाधान

Properties of Matter 2 Question 10

10. A metal ball immersed in alcohol weighs w1 at 0∘C and w2 at 50∘C. The coefficient of cubical expansion of the metal is less than that of the alcohol. Assuming that the density of the metal is large compared to that of alcohol, it can be shown that

Passage Based Questions

Passage

Answer:

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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10. A metal ball immersed in alcohol weighs $w_{1}$ at $0^{\circ} C$ and $w_{2}$ at $50^{\circ} C$ . The coefficient of cubical expansion of the metal is less than that of the alcohol. Assuming that the density of the metal is large compared to that of alcohol, it can be shown that