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

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

Note by Rohit Gupta
6 years, 2 months ago

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Sort by:

1. Perfect sphere.

2. Teardrop.

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

- 6 years, 2 months ago

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

- 6 years, 2 months ago

more at the bottom, i think

- 6 years, 2 months ago

- 6 years, 2 months ago

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

- 6 years, 2 months ago

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

- 6 years, 2 months ago

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

- 6 years, 2 months ago

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..

- 6 years, 2 months ago

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

- 6 years, 2 months ago

:)

- 6 years, 2 months ago

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.

- 6 years, 2 months ago

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

- 6 years, 1 month ago

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?

- 6 years, 1 month ago

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..!!

- 6 years, 1 month ago

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

- 6 years, 1 month ago

Nope, Smaller radius of curvature towards ground..!!

I am posting the solution again...!!

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

- 6 years, 1 month ago

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

- 6 years, 1 month ago

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

- 6 years, 2 months ago

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

- 6 years, 2 months ago