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Most substances contract on freezing. Ho...

Most substances contract on freezing. However, water does not belong to this category. We know that water expands on freezing. Further, coefficient of volume expansion of water in the temperature range from `0^(0)C` to `4^(0)C` is negative and above `4^(0)C` it is positive. This behaviour of water shapes the freezing of lakes as the atmospheric temperature goes down and it has an extremely important effect on plant and animal life in lakes.
If the atmospheric temperature is below `0^(0)C` and ice begins to form at t = 0, thickness of ice sheet formed up to a time .t. will be directly proportional to

A

`t^(4)`

B

`t^(2)`

C

t

D

`t^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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Most substances contract on freezing. However, water does not belong to this category. We know that water expands on freezing. Further, coefficient of volume expansion of water in the temperature range from 0^(0)C to 4^(0)C is negative and above 4^(0)C it is positive. This behaviour of water shapes the freezing of lakes as the atmospheric temperature goes down and it has an extremely important effect on plant and animal life in lakes. As the atmospheric temperature goes below 4^(0)C :

Most substances contract on freezing. However, water does not belong to this category. We know that water expands on freezing. Further, coefficient of volume expansion of water in the temperature range from 0^(0)C to 4^(0)C is negative and above 4^(0)C it is positive. This behaviour of water shapes the freezing of lakes as the atmospheric temperature goes down and it has an extremely important effect on plant and animal life in lakes. As the atmospheric temperature goes down. but it is still above 4^(0)C :

Most substances contract on freezing. However, water does not belong to this category. We know that water expands on freezing. Further, coefficient of volume expansion of water in the temperature range from 0^(0)C to 4^(0)C is negative and above 4^(0)C it is positive. This behaviour of water shapes the freezing of lakes as the atmospheric temperature goes down and it has an extremely important effect on plant and animal life in lakes. Under fixed atmospheric conditions, if it takes 2 hr. to form a 1 cm thick layer of ice in a lake, time taken for the thickness of ice layer to grow further by 1 cm will be

Volume coefficient of expansion of water is

The volume of water increases at the following temperature range -

Heavy water freezes at