Question

A steel plate has a hole in it with a diameter of exactly 1.0 cm when the plate is at a temperature of 20 degrees C. A steel ring has an inner diameter of exactly 1.0 cm at 20 degrees C. Both the plate and the ring are heated to 100 degrees C. Which statement is true?
a. the hole in the plate gets smaller, and the opening in the ring gets larger.
b. The opening in the ring gets larger, but we need the relative size of the plate and the hole to know what happens to the hole.
c. the hole in the plate and the opening in the ring get larger.
d. The hole in the plate and the opening in the ring get smaller.
e.The hole in the plate and the opening in the ring gets smaller.

Answer 1

Answer:

c. the hole in the plate and the opening in the ring get larger.

Explanation:

The hole in the plate and the ring both of them get enlarged.

The thermal expansion is very much similar to the optical expansion of the shadow of an object.

The change in length of an object is given by the relation:

$\Delta l=l.\alpha.\Delta T$

where:

l = original length of the object

$\alpha=$ coefficient of linear expansion

ΔT = change in temperature