Subjective Type

Two rulers made of different materials have the same length $$ l $$ at temperature $$ T_{0} $$ . At temperature $$ t_{1} $$ , the ruler $$ B $$ is longer than ruler $$ A $$ by $$ \Delta l . $$ Express the coefficient of expansion $$\alpha_{B}$$ of the material of which ruler $$ B $$ is made in terms of the coefficient $$ \alpha\,_{A} $$ of the material of ruler $$ A $$

Solution

SIMILAR QUESTIONS

Thermal Expansion

A cube of ice is placed on a bimetallic strip at room temperature as shown in the figure. What will happen if the upper strip of iron and the lower strip is of copper?

Thermal Expansion

A plate composed of welded sheets of aluminium and iron is connected to an electrical circuit as shown in fig. What will happen if a fairly strong current be passed through the circuit ?

Thermal Expansion

When a bimetallic strip is heated, it

Thermal Expansion

We would like to prepare a scale whose length does not change with temperature. It is proposed to prepare a unit scale of this type whose length remains, say 10 cm. We can use a bimetallic strip made of brass and iron each of different length whose length(both components) would change in such a way that difference between their lengths remain constant. If what should we take as the length of each strip?

Thermal Expansion

At $$ 0^{\circ} C , $$ the length of an aluminium rod is $$ 1.00 \,m $$ and that of a copper rod is $$ 1.38 \,m $$ .(a) What is the difference between the lengths of the two rods when the temperature is $$ 100^{\circ}C $$ ? (b) Show that the difference in length between any two rods is independent of temperature if their lengths are chosen so that $$ l_2 /l_1 = \alpha_1 / \alpha_2 $$

Thermal Expansion

A temperature controller , designed to work in a steam environment , involves a bimettalic strip constructed of brass and steel , connected at theirs ends by rivets. each of the metal is $$ 2.0\,mm $$ thick . At $$ 20^{\circ}C $$ the strip is $$ 10.0\,cm $$ long and straight . find the radius of curvature of the assembly at $$ 100^{\circ}C $$.

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