Question

Iron sheet of 50 cm x 20 cm is heated through 100 degree Celsius. If beta = 12 x 10^-6 per degree Celsius, the change in area is *​

Answer 1

Answer:

The change in area is ΔA = 2.4 cm²

Given:

Iron sheet = 50 cm x 20 cm

Heated through =100 degrees celsius

If $\alpha =12*10^-^6/^0c$

To find :

The change in area ?

Solution :

Thermal expansion: The temperature of an item is a degree of the way rapid or how sluggish the atoms or molecules of the item pass. When the temperature rises, the molecules pass quicker and similarly from every other. The extent of the item increases, in addition to its area.

Area: the degree of the floor of an item.

Δl=l α ΔT

   =50 x 12 x 10⁻⁶ x 100

   =0.06

Δl = 0.06

l - l' = Δl

l' =Δl + l

l' = 0.06 + 50

l' = 50.06 cm

Δb = b α ΔT

     = 20 x 12 x 10⁻⁶ x 100

     =0.024

Δb = 0.024

b - b' =Δb

b' = Δb + b

b' = 0.024 + 20

b' = 20.024 cm

A' = l' b'

A' = 50.06 x 20.024

A' = 1002.4 cm ²

A = l x b

A= 50 x 20

A = 1000 cm²

ΔA= A' - A

ΔA = 1002.4 - 1000

ΔA = 2.4 cm²

The change in area is ΔA = 2.4 cm²

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