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If the linear expansivity of a metal rod is 4 $$\times$$ 10$$^{-5}$$ per $$^{\circ}$$C, what will be the new length of the rod if it is heated from 15$$^{\circ}$$C t...

Question

If the linear expansivity of a metal rod is 4 $$\times$$ 10$$^{-5}$$ per $$^{\circ}$$C, what will be the new length of the rod if it is heated from 15$$^{\circ}$$C to 95$$^{\circ}$$C from its original length of 20cm

A)
0.064 cm
B)
0.64 cm
C)
20.64 cm
D)
20.064 cm

Explanation:

Coefficient of linear eapsnsivity,$$\alpha=4\times10^-⁵$$
Change in temperature, $$\Delta\theta=95°C-15°C =80° C$$
Original length, l¹=20cm
Final length, l²=xcm
$$\alpha=(l²-l¹)÷l¹\Delta\theta 4\times10^–⁵=(x-20)÷(20\times80) x=20.064cm$$

Discussion (4)

• Coefficient of linear eapsnsivity,$$\alpha=4\times10^-⁵$$
Change in temperature, $$\Delta\theta=95°C-15°C =80° C$$
Original length, l¹=20cm
Final length, l²=xcm
$$\alpha=(l²-l¹)÷l¹\Delta\theta 4\times10^–⁵=(x-20)÷(20\times80) x=20.064cm$$

1. Thank you for providing an explanation for the question!