Question

The thermal coefficient of linear expansion of an
anisotropic solid metal along x, y, z directions are
a = 2 x 10-5 per °C a, = 3 x 10-5 per °C and
a = 4 * 10-5 per °C respectively. Its thermal
coefficient of volume expansion y should be
(1) 6 x 10-5 per °C (2) 7 x 10-5 per °C
(3) 8 x 10-5 per °C (4) 9 x 10-5 per °C
​

Answer 1

Answer:

9 x 10-5 per °C

Explanation:

Answer 2

Answer:

(4) 9 x 10-5 per °C

Explanation:

Given that

α₁= 2 x 10⁻⁵ per °C

α₂=3 x 10⁻⁵ per °C

α₃=4 x 10⁻⁵ per °C

As we know that anisotropic material is a material which have different properties in the all direction.

If material have different  thermal coefficient of linear expansion then the thermal  coefficient of volume expansion y given as

y = α₁+α₂+α₃

By putting the values

y =2 x 10⁻⁵ +3 x 10⁻⁵+4 x 10⁻⁵   per °C

y  = 9 x 10⁻⁵per °C

(4) 9 x 10-5 per °C