Thought Of the Day _ 2_Shape Of Rain Drops..!!

Lets Discuss !!\Large \text{Lets Discuss !!}

Note by Rohit Gupta
4 years, 5 months ago

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  1. Perfect sphere.

  2. Teardrop.

Edit: the answer to part 2 may not be a teardrop shape. Check wikipedia.

Raghav Vaidyanathan - 4 years, 5 months ago

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In second case drop will have more radius of curvature at the bottom or at the top??

Rohit Gupta - 4 years, 5 months ago

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more at the bottom, i think

parth tandon - 4 years, 5 months ago

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@Parth Tandon Can you justify?? your answer..??

Rohit Gupta - 4 years, 5 months ago

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@Rohit Gupta BECAUSE then it will be perfectly aerodynamic in shape ans will have least Drag

Kalash Verma - 4 years, 5 months ago

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@Kalash Verma @Kalash Verma What is your answer for the shape of the drop in the two cases??

Rohit Gupta - 4 years, 5 months ago

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@Rohit Gupta Same as Raghav Vaidyanathan. The second one will be in a shape like 💦Curved at the top pointed in the end.

Kalash Verma - 4 years, 5 months ago

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@Kalash Verma Kalash Verma Explain your reasons for both the cases... .

The answer in second case should be reverse... The top surface should be of more radius of curvature than the bottom one..

Rohit Gupta - 4 years, 5 months ago

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@Rohit Gupta Yeah You are right.I just read about it.I got mistake in my thinking

Kalash Verma - 4 years, 5 months ago

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@Kalash Verma :)

Rohit Gupta - 4 years, 5 months ago

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@Rohit Gupta 1 case)The drop would be perfectly spherical because sphere is the only shape with maximum volume but minimum surface area , so due to surface tension , it would be spherical.

2 case)I think its because when a perfectly spherical drop falls , it expiriences 'comparitively' low pressure at the front than at the end , so the end of the drop is squeezed while the front part is able to retain more spherical surface.

Utkarsh Dwivedi - 4 years, 5 months ago

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@Utkarsh Dwivedi Factor of gravity is also needed to be taken in the explanation..!!

Rohit Gupta - 4 years, 5 months ago

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@Rohit Gupta Okay, so o e more factor is that the tail of the rain drop is the water that was left behibd while falling but is still attached to rain drop. So, is my answer correct , sir?

Utkarsh Dwivedi - 4 years, 5 months ago

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@Utkarsh Dwivedi I have already written the correct answer.. refer to my earlier comments with a diagram. The diagram shows you how the shape of the rain drop should be in case it attains the terminal velocity..!!

And in case when we neglect the air resistance then it should be spherical..!!

Rohit Gupta - 4 years, 5 months ago

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@Rohit Gupta Sir, will the drop have larger curvature toward the ground in the presence of air drag?

Mayank Chaturvedi - 4 years, 5 months ago

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@Mayank Chaturvedi Nope, Smaller radius of curvature towards ground..!!

I am posting the solution again...!!

Now think why drop is spherical in (i) case??

Rohit Gupta - 4 years, 5 months ago

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@Rohit Gupta I am extremely sorry for making you post same answer twice.......Can you please explain what is PA,PBandPC{ P }_{ A },{ P }_{ B }\quad and\quad { P }_{ C } and also the relation used in the solution.

Mayank Chaturvedi - 4 years, 5 months ago

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The radius of curvature will be more at the bottom, but it will not be a teardrop.

Raghav Vaidyanathan - 4 years, 5 months ago

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Now think why drop is spherical in (i) case??

Rohit Gupta - 4 years, 5 months ago

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