Question

a brass sheet is 25 cm long and 8 cm breadth at o°c its area at 100°c is​

Answer 1

Answer:

200.72

Explanation:

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Answer 2

Answer:

200.72 cm ^2 is the correct answer

Explanation:

Hint:This question is from the topic Thermal Expansion of solids. The basic knowledge that is needed to solve this question is about how to relate the value of β with α, considering only α is given to us, while to find the expansion in area, we need the value of β

Complete step-by-step solution:

As told in the hint section, we will be using the knowledge about the relation of values of β and α since β is used to find the value of area expansion.

If you are having troubles in recalling the relation between the values of β and α, let us help you.

The relation between β and α is:

β=2α

We have already been given the value of α in the question:

α=18×10−6/∘C

So, we can find the value of β as:

β=2αβ=2×(18×10−6/∘C)β=36×10−6/∘CNow, that we have found out the value of coefficient of Area expansion, all we need to do is find the original area and then using the value of coefficient of area expansion, we can find the value of the new area at the given temperature.

We will use the following formula of Area expansion:

A2=A1(1+βΔT)

In this formula, A2 is the new area

A1 is the old area

β is the coefficient of area expansion and,

ΔT is the temperature difference between the old temperature and the new temperature

Using the values that are given to us in the question:

A1=l×bA1=25×8cm2Now that we have the value of old area, we can find the value of new area as:

A2=A1(1+βΔT)

A2=200(1+36×10−6×100)A2=200.72cm2

So, the value of the area at 100∘C is 200.72cm2.

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