Solveeit Logo
Login

Question

Question: If \(\alpha,\beta\) and \(\gamma\) are coefficients of linear, superficial and volume expansion resp...

If α,β\alpha,\beta and γ\gamma are coefficients of linear, superficial and volume expansion respectively. Then

A

(a) βα=12\frac{\beta}{\alpha} = \frac{1}{2}

A

(b) βγ=23\frac{\beta}{\gamma} = \frac{2}{3}

A

(c) γα=32\frac{\gamma}{\alpha} = \frac{3}{2}

A

(d) βα=γβ\frac{\beta}{\alpha} = \frac{\gamma}{\beta}

Explanation

Solution

(b) As β=2αandγ=3α∴βγ=2α3α=23\beta = 2\alpha and\gamma = 3\alpha\therefore\frac{\beta}{\gamma} = \frac{2\alpha}{3\alpha} = \frac{2}{3}