A blacksmith heated a metal whose cubic expansivity is 3.9 x 10^{-6}K^{-1}. Calculate the area expansivity.

Correct Answer is : 2.6 x 10−6^{-6}−6K−1^{-1}−1.

Correct Answer is : 2.6 x 10−6^{-6}−6K−1^{-1}−1.

Test Index

JAMB Physics 2024 Paper

Question : 92

Total: 125

^{-6}

^{-1}

. Calculate the area expansivity.

Solution:

Concept:

Area expansivity is derived from linear expansivity, which is one-third of cubic expansivity.

Explanation:

Cubic expansivity is

\gamma = 3\alpha

Linear expansivity is

\alpha = \frac{\gamma}{3}

Substitute:

\alpha = \frac{3.9 \times 10^{-6}}{3} = 1.3 \times 10^{-6} \, \mathrm{K^{-1}}

Area expansivity is

\beta = 2\alpha

Thus,

\beta = 2 \times 1.3 \times 10^{-6} = 2.6 \times 10^{-6} \, \mathrm{K^{-1}}

Answer:

2.6 \times 10^{-6} \, \mathrm{K^{-1}}

Go to Question:

Prev Question

Next Question