Question

12. Consider the figures of a metal ball and a metal ring
given here
Ball
Ring
The metal ball can just pass through the metal ring,
If the metal ring is heated, then
A. The ball will pass through it and there is no change
in the shape of the ring
B. The ball will pass through it and the diameter of
ring increases
C. The ball gets stuck and the diameter of the ring
decreases
D. None of these​

Answer 1

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Answer A is correct

Answer 2

B. The ball will pass through it and the diameter of  ring increases

Explanation:

• On heating the metallic ring it will undergo thermal expansion during which its shape will remain the same while its size increases and hence the metallic  ball passes through as given in the question.

• Thermal expansion is a phenomenon during which the kinetic energy of the molecules and the inter molecular space increases leading to the increase in length of a given geometry of metal. The change in dimension is same as in case of optical magnification by the shadow formed through the parallel rays.

Mathematically the change in length due to thermal expansion is given as:

$\Delta L=L.\alpha.\Delta T$

where:

$L =$ original length of the object

$\alpha=$ coefficient of linear expansion.

$\Delta T=$ change in temperature

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TOPIC: thermal expansion,

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