A piece of copper wire has resistance 10 Ω at 0°C. α = 0.004/°C. At 100°C resistance is MCQ with Answer and Explanation

A piece of copper wire has resistance 10 Ω at 0°C. α = 0.004/°C. At 100°C resistance is
A. 12 Ω
B. 8 Ω
C. 14 Ω
D. 10 Ω
Answer: Option C
Solution (By JKExamLibrary)
R_t = R₀(1+α t) = 10(1+0.004×100) = 10(1.4) = 14 Ω.

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Question #1
Torricelli's Law states that the velocity of efflux of a fluid through a sharp-edged hole at the bottom of a tank filled to a depth 'h' is identical to:
A. The critical velocity for turbulent flow.
B. The velocity of a sound wave in that fluid.
C. The velocity acquired by a freely falling body dropped from height 'h'.
D. The terminal velocity of the fluid.

Correct Answer: Option C


Explanation:
Torricelli's Law is a direct application of Bernoulli's principle. It proves mathematically that the velocity of fluid exiting a small hole (efflux velocity v) is v = sqrt(2gh). This is exactly the same velocity a solid body would acquire if it fell freely under gravity from rest over the same vertical height 'h'.

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Question #2
The pressure at a point in a fluid at rest depends on:
A. Volume of the fluid
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D. Shape of the container

Correct Answer: Option C


Explanation:
Hydrostatic pressure P = P₀ + ρgh, where h is depth below free surface, ρ fluid density, g gravity. Pressure depends only on depth, not container shape, surface area, or total volume (Pascal's paradox). This is a fundamental result in fluid statics. Memory aid: 'Pressure increases linearly with depth'. Competitive exams often test this independence from container geometry to assess deep understanding versus misconceptions. Always recall that pressure is scalar and acts equally in all directions at a point in static fluid.

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Hydraulic press multiplies force based on:
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Correct Answer: Option C


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