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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.

2 Answers

1 vote

Final answer:

When heated from 20 degrees C to 100 degrees C, the diameter of the hole in a steel plate and the inner diameter of a steel ring both increase due to thermal expansion. So the correct option is C.

Step-by-step explanation:

The correct answer to the question about what happens to the diameter of a hole in a steel plate and the inner diameter of a steel ring when both are heated is that both will get larger. This is due to the thermal expansion of materials, which states that objects expand in all dimensions as their temperature increases. When the steel plate and ring are heated from 20 degrees C to 100 degrees C, the particles within the steel vibrate more and push each other farther apart, causing both the solid material and the empty space within, like the hole and the opening of the ring, to increase in size.

User Deicy
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Answer:

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

Step-by-step 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

User Brooks
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