Question

If 'a' is coefficient of linear expansion; 'b' is coefficient of area expansion; 'c' is coefficient of volume expansion. Which of the following is true :
a] b=2a ;
b] c=3a ; c] b=3a d] a= 2b

Answer 1

Answer:

d) a = 2b

Step-by-step explanation:

a is linear and 2b is also linear

Answer 2

(a) b = 2a and (b) c = 3a are true

Explanation:

Given: a - coefficient of a linear expansion, b - coefficient of an area expansion, and c - coefficient of the volume expansion

The ratio between a , b , and c can be written as below:

a : b : c = 1 : 2 : 3

This will also imply that: c = 3a, and b = 2a or a = c/3 = b/2

This means option (a) b = 2a and (b) c = 3a are both true,

While false options are (c) b = 3a and (d) a = 2b