Question

Two iron rods of length 1m and 2m respectively when heated to
a certain temperature the ratio of linear expansion of those two rods will be a
1:2; (b) 1:4: (c) 1:8; (d) 2:1​

Answer 1

Answer:

Coefficient of linear expansion of two rods will be 2 : 1

Explanation:

As we know that the difference of length of two rods is same

so here we can say that both rods will expand by same amount when their temperature is raised

so we will have

$\Delta L_1 = \Delta L_2$

$L_1\alpha_1\Delta T = L_2\alpha_2\Delta T$

so we will have

$L_1 \alpha_1 = L_2\alpha_2$

so we have

$\alpha_1 : \alpha_2 = L_2 : L_1$

$\alpha_1 : \alpha_2 = 2 : 1$

#Learn

Topic : Thermal Expansion

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