Question

A uniform copper rod of length of length 50 cm and diameter 3M is kept on a frictionless horizontal surface at 20 degree Celsius the coefficient of linear expansion of copper is 2 into 10 to the power minus 5 Kelvin and Young's modulus is 1.2 into 10 to the power 11 Newton per metre square the copper rod is heated to hundred degree Celsius then the tension developed in the copper rod is is

Answer 1

Thank you for asking this question. The options for this question are missing. Here are the missing options:

1) 12 x 10 ^3 N

2) 36 x 10 ^3 N

3) 18 x 10 ^3 N

4) Zero

Answer:

l = 50 x 10 ^ - 2m

d = 3 x 10  ^ -3 m

t₁ = 20°C

t₂ = 100° C

a = 2.0 x 10 ^ -5 K ^ - 1

E = 1.2 x 10 ^ 11 N/m²

we know

ε = Δl/l = aΔ t

= (2.0 x 10^-5) x (100 - 20)

= 1.6 x 10^-3

Note this that the tension and stress is only created if there is a restriction on the strain.

Answer 2

I think the ans is zero

As tension in rod will br zero