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A liquid of temperature coefficient of volume expansion g = 4 × 10 –5 /ºC is poured in a cylindrical container of metal. On increasing temperature height of liquid in container will remain same if temperature coefficient of linear expansion of container is approximately : (a) 2 × 10 –5 /ºC (b) 3 × 10 –5 /ºC (c) 8 × 10 –5 /ºC (d) 6 × 10 –5 /ºC

A liquid of temperature coefficient of volume expansion g = 4 × 10–5 /ºC is poured in a cylindrical container of metal. On increasing temperature height of liquid in container will remain same if temperature coefficient of linear expansion of container is approximately :
(a)
2 × 10–5 /ºC
(b)
3 × 10–5 /ºC
(c)
8 × 10–5 /ºC
(d)
6 × 10–5 /ºC

Grade:12

1 Answers

Shobhit Varshney IIT Roorkee
askIITians Faculty 33 Points
9 years ago
Dear student,

First find new volume of the liquid due to temperature increase.
For the metal container, assume coefficent = x
Find its new radius and new height in terms of x.
Equate both the volumes and get the value of x.

Thanks

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