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Q.

Due to thermal expansion, with rise in temperature
a) Metallic scale reading becomes lesser than true value
b) Pendulum clock goes fast
c) A floating body sinks a little more
d) The weight of a body in a liquid increases

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a

(a), (c) & (d) are correct

b

 (a), (b) & (d) are correct

c

(a) & (b) are correct

d

only (a) is correct

answer is D.

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Detailed Solution

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Due to heating:

1. Metallic scales expand. Distance between its marks increases. Hence measured length of a body decreases.

2. Pendulum clocks: T=2πlg. Length of pendulum increases, increasing the time period. So oscillations happen less frequently. In a given time, it makes less ticks, counts less time. Clock goes slow.

3. Solid body floating in a liquid: Both the solid body and the liquid in which the solid body is floating undergo expansion. Liquid's density decreases due to heating. 

Weight = upthrust = Vinρlg. To balance the weight of the body, solid displaces more volume of liquid (it sinks more).

4. If a solid is fully immersed in a liquid, upthrust given by Vsρlg decreases (as ρl decreases. So, apparent weight increases.

Apparent weight = true weight minus upthrust.

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