with cold wind keeping the surface at -10 degree c, a layer of ice on a pond grows in thickness from 20 mm to 21 mm in 10 min. later on with the surface at the same temperature , it will grow from 40 mm to 42 mm in approximately (in min) ? Ans 40

To determine how long it takes for the ice on the pond to grow from 40 mm to 42 mm under the same conditions, we can analyze the growth rate of the ice based on the information provided. The key here is to understand how the thickness of the ice increases over time and whether that rate remains consistent.

Analyzing Ice Growth Rate

Initially, we know that the ice thickness increases from 20 mm to 21 mm in 10 minutes. This gives us a growth rate of:

• Growth from 20 mm to 21 mm: 1 mm in 10 minutes.

This means that the ice grows at a rate of 0.1 mm per minute during this period. Now, let’s consider the second scenario where the ice thickness increases from 40 mm to 42 mm.

Calculating the Time for the Next Growth Phase

We can apply the same growth rate to the new thickness. If the ice grows at the same rate of 0.1 mm per minute, we can calculate the time required for the ice to grow from 40 mm to 42 mm:

• Growth from 40 mm to 42 mm: 2 mm total increase.
• Time required = Thickness increase / Growth rate = 2 mm / 0.1 mm per minute = 20 minutes.

Understanding the Implications

This calculation assumes that the conditions remain constant, meaning the temperature and other environmental factors do not change. If the ice continues to grow at the same rate, it will take approximately 20 minutes for the thickness to increase from 40 mm to 42 mm.

Final Thoughts

In summary, based on the growth rate observed in the first scenario, the time required for the ice to grow from 40 mm to 42 mm is indeed 20 minutes. This example illustrates how consistent conditions can lead to predictable outcomes in natural processes like ice formation.