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A bimetallic strip is made of aluminium and steel \(\left(\alpha_{A l}>\alpha_{\text {steel }}\right)\). On heating, the strip will (A) remain straight. (B) get twisted. (C) bend with aluminium on concave side. (D) bend with steel on concave side.

Short Answer

Expert verified
The bimetallic strip made of aluminum and steel will bend when heated, with the steel forming the concave side. This is because the aluminum has a higher coefficient of linear expansion and will expand more than the steel, causing the strip to bend. Therefore, the correct option is (D) bend with steel on the concave side.

Step by step solution

01

Observe the expansion of each metal when heated

When the bimetallic strip is heated, both metals (aluminum and steel) will expand. However, due to the different coefficients of linear expansion, the aluminum will expand more than the steel.
02

Analyze the bending of the bimetallic strip

As the aluminum expands more than the steel, the bimetallic strip cannot remain straight and will bend to accommodate the difference in expansion.
03

Determine which side will be concave

Since the aluminum expands more than the steel, the strip will bend in such a way that the aluminum forms the convex side, and the steel forms the concave side. This is because the larger expansion of the aluminum will "push" the steel to form the concave side.
04

Choose the correct option

From our analysis, we can conclude that the bimetallic strip will bend with the steel forming the concave side. The correct option is (D) bend with steel on the concave side.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Thermal Expansion
Thermal expansion is the tendency of matter to change its shape, area, volume, and density in response to a change in temperature. When materials are heated, they typically expand. This is because an increase in temperature provides energy for the atoms to move more, causing them to take up more space.
Bimetallic strips are a classic example of thermal expansion in action. They consist of two layers of different metals that expand at different rates when heated. This difference in expansion causes the strip to bend, which can be used to activate switches or sensors in various devices.
In a bimetallic strip made of aluminum and steel, the differing expansion rates of these materials are crucial in how they respond to heat. This concept demonstrates how subtle differences in thermal expansion can lead to significant changes in material behavior.
Linear Expansion Coefficient
The linear expansion coefficient, often denoted as \( \alpha \), is a measure of how much a material expands per degree of temperature change. It is a crucial factor in determining the thermal behavior of materials.
A higher linear expansion coefficient means that a material will expand more when heated. Especially in bimetallic strips, this coefficient plays a vital role because the metals have different \( \alpha \) values. For example, aluminum has a higher linear expansion coefficient than steel. Therefore, in a bimetallic strip with these metals, aluminum will expand more than steel when both are heated equally.
The formula to calculate the change in length due to thermal expansion is given by: \[ \Delta L = \alpha L_0 \Delta T \] where \( \Delta L \) is the change in length, \( L_0 \) is the original length, \( \alpha \) is the linear expansion coefficient, and \( \Delta T \) is the change in temperature. Understanding this formula helps us predict and manage the effects of temperature changes on materials.
Material Properties
The properties of materials, such as strength, flexibility, and thermal expansion, define how they behave in different conditions. These properties determine the suitability of materials for various applications.
For instance, in a bimetallic strip, both aluminum and steel have distinct properties that affect their expansion rates. Aluminum is lightweight, has a good balance of strength and flexibility, and features a high linear expansion coefficient. Steel, on the other hand, is known for its strength and lower expansion rate compared to aluminum.
The unique combination of these materials' properties allows a bimetallic strip to bend when heated. These bending properties can be harnessed in many practical applications, such as in thermostats where they act as temperature-sensitive switches. Thus, understanding material properties is key to selecting the right materials for designing devices that rely on thermal effects.

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Most popular questions from this chapter

A ring of radius \(r\) is to be mounted on a wheel of radius \(R\). The coefficient of linear expansion of the material of the ring is \(\alpha\), Young's modulus is \(Y\), area of cross-section is \(A\), and mass is \(\mathrm{m}\). Initially, ring and wheel are at same temperature. \((r

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An aluminium sphere of \(20 \mathrm{~cm}\) diameter is heated from \(0^{\circ} \mathrm{C}\) to \(100^{\circ} \mathrm{C}\). Its volume changes by (given that the coefficient of linear expansion for aluminium \(\left.\alpha_{A l}=23 \times 10^{-6} /{ }^{\circ} \mathrm{C}\right)\) (A) \(28.9 \mathrm{cc}\) (B) \(2.89 \mathrm{cc}\) (C) \(9.28 \mathrm{cc}\) (D) \(49.8 \mathrm{cc}\)

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