PandaScientist

@JohnRennie I've made a few friends already

Yes, I'm hoping soo! I'll keep in touch.

August 1. We've an entire week of orientation/induction and guest appearances planned before that

So... How are you doing ?

Late late thank you sir :-)

But, I got into IIT BHU (Varanasi) under Electrical Department

Sorry, I haven't texted since ages :-( got busy with some paper work

Hey! Good morning.

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@JohnRennie results were out. Got 99.46%tile. working for adv now!

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Coming to my exam, it didnt go about the way I was expecting it to go. Physics was filled with long questions, calculations were very hard. Pi was to be used in nearly every question. Affected my chem but math was def easier. Still didn't have enough time left to end it properly.

How're you doing ? Couldn't talk for ...65 days. Thank you sir for keeping this room alive!

@JohnRennie , done with mains !!!

Got it! Thank you sir!

@JohnRennie Same. Never realised that... So in questions like this, when I have a gas-liquid interface, I can equate the pressure at their interface right?

Yes, it gives the answer

Okok

Yes. I thought that the pressures are equal at their interface (at the bottom)

Yes

I'm getting nothing close to the options

The last one

@JohnRennie good morning sir !

Thank you sir !!

You're a genius. I never realised how much meaning those few lines of solutions had until now

Yes . Got it now . It was tough

Just a small doubt ; how did we setup the eqn d-(2umg/k)n?

Ah! I get it now

We guarantee that KE is 0 but do we make sure that KE+U is 0, as the q is asking for mechanical energy?

Yes

But how do we ensure that at this distance, limiting friction exceeds spring's force 'cause if it did ,wouldn't the block stop there only?

d-2umg/k got it

Yes

@JohnRennie yes

NLP=Natural Length Point

well, I just saw the official answer. and I cannot understand that either. should I send the pic? It didn't involve eqns of motion as such.

I got my mistake but now I don't not how to proceed. help!

Oh ok. Sending...

Oh , I think I realised what went wrong

Natural length of the spring

The mass has to move by a distance d+kl where k is an integer, so that it reaches back to equilibrium/origin. Right sir?

But aren't we finding d.

Since d is such that mechanical energy is 0 at some point in future, that means the mass should eventually come to rest at natural length of the spring

Should I share my work?

Arithmetic Progression

that is there are more than one d and that they all form an AP

we've to prove that distance d occurs in AP