A ball and plate are made of different materials. At some initial temperature, t

Question

A ball and plate are made of different materials. At some initial temperature, the ball sits in a hole cut into the plate but it doesn't fall through becuase the hole is slightly smaller than the ball. For which of the following situations will the ball fall through the hole if both are heated to a sufficiently high temperature?
(Select Y-Yes, N-No. If the first is Y and the rest N, enter YNNNN).  

A) An iron ball on a copper plate
B) A copper ball on a aluminum plate
C) An aluminum ball on a brass plate
D) A brass ball on a aluminum plate
E) An invar ball on a aluminum plate
F) A glass ball on a copper plate

Explanation / Answer

YYNYYY

This is based on coefficient of thermal expansion. For falling of ball, the coefficient of expansion of the plate should be more than that of ball.

We have following values of volumetric expansion

Brass=57unit, Copper=51unit, Aluminium=69unit, Glass=25 unit, iron= 33unit, invar=3 unit

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