Question

Assertion :To keep the volume of empty space in a vessel containing a liquid constant at all temperatures, the expansions of vessel and liquid should be the same. Reason: The coefficient of linear expansion decreases with increases of temperature.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is C Assertion is correct but Reason is incorrect

Assertion is correct.

True.

In order to have same empty space the expansion, the total expansion of liquid must be equal to the the total expansion of vessel. So that the difference will remain the same.

Let the volume of vessel be V and liquid be v.

Empty space e=V−v

Now their volume is increases by x, so volume of container is V+x and liquid is v+x.

Empty space f=V+x−(v+x)=V−v=e

Reason is incorrect.

It remains same for all temperature .The coefficient of linear expansion depends only on the material an object is made from.