A steel plate has a hole in it with a diameter of exactly 1.0 cm when the plate

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 C. A steel ring has an inner diameter of exactly 1.0 cm at 20 C. Both the plate and the ring are heated to 100 C.
Part A Which statement is true?
The hole in the plate and the opening in the ring get larger.
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.
The hole in the plate gets larger, and the opening in the ring gets smaller.
The hole in the plate and the opening in the ring get smaller.
The hole in the plate gets smaller, and the opening in the ring gets larger.
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 C. A steel ring has an inner diameter of exactly 1.0 cm at 20 C. Both the plate and the ring are heated to 100 C.
Part A Which statement is true?
The hole in the plate and the opening in the ring get larger.
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.
The hole in the plate gets larger, and the opening in the ring gets smaller.
The hole in the plate and the opening in the ring get smaller.
The hole in the plate gets smaller, and the opening in the ring gets larger.
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 C. A steel ring has an inner diameter of exactly 1.0 cm at 20 C. Both the plate and the ring are heated to 100 C.
Part A Which statement is true?
The hole in the plate and the opening in the ring get larger.
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.
The hole in the plate gets larger, and the opening in the ring gets smaller.
The hole in the plate and the opening in the ring get smaller.
The hole in the plate gets smaller, and the opening in the ring gets larger.

Explanation / Answer

ANSWER:- The hole in the plate and the opening in the ring get larger.

Imagine that the hole is filled with a steel disk. As the plate and the steel disk are heated both will expand. After the plate and disk are heated, the disk is removed from the plate. Since the disk expanded, the hole that is left must also have expanded. As the steel ring is heated its circumference will expand causing its interior to also expand.

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